Find Greatest Common Divisor of 9900, 1952303375 and 1836, by listing out the factors.
Answer
The GCD of given numbers is 1.
Explanation
| factors of 9900 are : | 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 11 , 12 , 15 , 18 , 20 , 22 , 25 , 30 , 33 , 36 , 44 , 45 , 50 , 55 , 60 , 66 , 75 , 90 , 99 , 100 , 110 , 132 , 150 , 165 , 180 , 198 , 220 , 225 , 275 , 300 , 330 , 396 , 450 , 495 , 550 , 660 , 825 , 900 , 990 , 1100 , 1650 , 1980 , 2475 , 3300 , 4950 , 9900 |
| factors of 1952303375 are : | 1 , 5 , 11 , 17 , 25 , 55 , 85 , 125 , 187 , 275 , 289 , 425 , 935 , 1375 , 1445 , 2125 , 3179 , 4675 , 4913 , 7225 , 15895 , 23375 , 24565 , 36125 , 54043 , 79475 , 83521 , 122825 , 270215 , 397375 , 417605 , 614125 , 918731 , 1351075 , 1419857 , 2088025 , 4593655 , 6755375 , 7099285 , 10440125 , 15618427 , 22968275 , 35496425 , 78092135 , 114841375 , 177482125 , 390460675 , 1952303375 |
| factors of 1836 are : | 1 , 2 , 3 , 4 , 6 , 9 , 12 , 17 , 18 , 27 , 34 , 36 , 51 , 54 , 68 , 102 , 108 , 153 , 204 , 306 , 459 , 612 , 918 , 1836 |
We see that the Greatest Common Factor = 1.
This solution can be visualized using a Venn diagram.
The GCD equals the product of the numbers at the intersection.
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