APPENDIX. 372. GREATEST COMMON DIVISOR. 1. A divisor of a number is one of the integral numbers which being multiplied together will produce that number. 2. Name all of the divisors of each of the following numbers: 4, 6, 8, 12, 15, 24, 36, 39, 40, 48, 56, 64, 72, 96. 3. What number will divide 4 and 6? 9 and 12? 10 and 15? 6, 9, and 12? 15, 18, and 21? 14, 21, 28, and 35? 4. What do you call a number that will divide each of two or more numbers? 5. A common divisor of two or more numbers is a number that is a divisor of each of them. 6. Name all of the common divisors of 6 and 12. Which is the greatest? Of 8, 16, and 24, which is the greatest? Of 16, 24, and 32, which is the greatest? What is such a number called? Define it. 7. The greatest common divisor of two or more numbers is the greatest number that is a divisor of each of them. 8. Examine these groups of numbers and find of what the greatest common divisor is the product in each case. 9. The greatest common divisor of two or more numbers is the product of their common prime factors. Prove the preceding statement. APPENDIX. 372. GREATEST COMMON DIVISOR. 1. A divisor of a number is one of the integral numbers which being multiplied together will produce that number. 2. Name all of the divisors of each of the following numbers: 4, 6, 8, 12, 15, 24, 36, 39, 40, 48, 56, 64, 72, 96. 3. What number will divide 4 and 6? 9 and 12? 10 and 15? 6, 9, and 12? 15, 18, and 21? 14, 21, 28, and 35? 4. What do you call a number that will divide each of two or more numbers? 5. A common divisor of two or more numbers is a number that is a divisor of each of them. 6. Name all of the common divisors of 6 and 12. Which is the greatest? Of 8, 16, and 24, which is the greatest? Of 16, 24, and 32, which is the greatest? What is such a number called? Define it. 7. The greatest common divisor of two or more numbers is the greatest number that is a divisor of each of them. 8. Examine these groups of numbers and find of what the greatest common divisor is the product in each case. 9. The greatest common divisor of two or more numbers is the product of their common prime factors. Prove the preceding statement. |