Question

Find the greatest number that will divide 55, 127 and 175, so as to leave the same remainder in each case.

Answer 1

55- 7=48 127- 7=120 &
175-7 =168

48 = (2×2×2)×3
120= (2×2×2)×3×5
168= (2×2×2)×3×7

Answer is 2×2×2= 8.

Answer 2

Answer:

The greatest number that will divide 55, 127 and 175 is 24

Step-by-step explanation:

Step 1:

Lets the x = 55,  

Y = 127,  

Z = 175

Step 2:

| X-Y | = | 55 – 127 | = 72

| Y – Z | = | 127 – 175 | = 48

| Z – X | = | 175 – 55 | = 120

Step 3:

Highest Common Factor of 72, 48,120 is 24.

24 is the greatest number which is divided by 55, 127 and 175 and leave the same remainder.