Question

4. Find the greatest number that will divide 153, 204, and 357 without leaving any remainder​

Answer 1

Answer:

51.

Step-by-step explanation:

Finding the prime factors:

153 = 3 * 3 * 17

204 = 2 * 2 * 3 * 17

357 = 3 * 7 * 17

3 * 17 is common to all three sets of factors.

So the greatest common factor (GCF) = 3*17 = 51.

Answer 2

Answer:

51. 3 * 17 is common to all three sets of factors. So the greatest common factor (GCF) = 3*17 = 51.4

The number divides 399,434 and 537 leaving the remainder 8,9 and 10.

So, that number will divide (399−8),(434−9)  and (537−10) completely.

Now, the greatest number that will divide 391,425 and 527 completely, is the H.C.F. of these numbers.

391=17×23

425=5×5×17

527=17×31

H.C.F. =17