The greatest common factor of 2940 and 3150 is 210. Source: http://www.mathwarehouse.com/arithmetic/numbers/GCF/greatest-common-factor-calculator.php
The GCF is 42.
The LCM is: 17,640
The lowest common factor is: 1
420, 840, 1260, 1680, 2100, 2520, 2940 +420 . . .
Count them: 210, 420, 630, 840, 1050, 1260, 1470, 1680, 1890, 2100, 2310, 2520, 2730, 2940
420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780.
A factor is a divisor - a number that will evenly divide into another number. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, and 462. The factors of 2940 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, and 2940. The common factors are 1, 2, 3, 6, 7, 14, 21, and 42. This would mean that the greatest common factor is 42.
The total number of multiples is infinite. Here are the first 10: 420, 840, 1260, 1680, 2100, 2520, 2940, 3360, 3780, 4200 . . .
2940
The best way to do this is to factor both numbers. 2940 = 2 * 2 * 3 * 5 * 7 * 7 3150 = 2 * 3 * 5 * 5 * 7 Now take the ones that are common: 2 * 3 * 5 * 7. That's 210 to check, you can take the unused factors. For 2940 that's 2 * 7 = 14 and 14 * 210 = 2940 For 3150 that's 3 * 5 = 15 and 15 * 210 = 3150 The 14 and 15 also tell us we have it right since they share no common factors.
9 + 2940 = 2949.