Question

Find the greatest number which divides 857, 1070 and 1496 leaving 5 as remainder in each case. ​

Answer 1

Answer:

213

Step-by-step explanation:

first, subtract 5 from each number

857 - 5 = 852

1070 - 5 = 1065

1496 - 5 = 1491

now find common factor of each number

$852 = 2 \times 2 \times 3 \times 71$

$1065 = 5 \times 3 \times 71$

$1491 = 3 \times 7 \times 71$

the common factor is

$3 \times 71 = 213$

213 is greatest number which divides

857&1070&1496