GCF of 625 and 1000
2026-02-28 10:46 Diff
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Find the GCF of 625 and 1000 using the division method or Euclidean Algorithm Method. Follow these steps:

Step 1: First, divide the larger number by the smaller number

Here, divide 1000 by 625 1000 ÷ 625 = 1 (quotient),

The remainder is calculated as 1000 − (625×1) = 375

The remainder is 375, not zero, so continue the process

Step 2: Now divide the previous divisor (625) by the previous remainder (375)

Divide 625 by 375 625 ÷ 375 = 1 (quotient), remainder = 625 − (375×1) = 250

The remainder is 250, not zero, so continue the process

Step 3: Now divide the previous divisor (375) by the previous remainder (250)

Divide 375 by 250 375 ÷ 250 = 1 (quotient), remainder = 375 − (250×1) = 125

The remainder is 125, not zero, so continue the process

Step 4: Now divide the previous divisor (250) by the previous remainder (125)

Divide 250 by 125 250 ÷ 125 = 2 (quotient), remainder = 250 − (125×2) = 0

The remainder is zero, the divisor will become the GCF.

The GCF of 625 and 1000 is 125.