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Greatest Common Divisor (GCD, GCF, HCF) Calculator

Greatest Common Divisor (GCD, GCF, HCF) Calculator

Enter values
Last update: 2024-06-18
0/0
Result:
125
Solution steps
1.
Sort numbers from largest to smallest
= 1625, 1000
2.
Find GCD of 1625 and 1000 using Euclid's Algorithm
1.
Calculate the modulo using the Modulo Calculator
1.
Calculate the modulo
mod(1625,1000)
mod(1625,1000)
= 625
2.
1625 = 1 * 1000 + 625
= Remainder 625
3.
625 > 0. Repeat calculation
1.
Calculate the modulo
mod(1000,625)
mod(1000,625)
= 375
4.
1000 = 1 * 625 + 375
= Remainder 375
5.
375 > 0. Repeat calculation
1.
Calculate the modulo
mod(625,375)
mod(625,375)
= 250
6.
625 = 1 * 375 + 250
= Remainder 250
7.
250 > 0. Repeat calculation
1.
Calculate the modulo
mod(375,250)
mod(375,250)
= 125
8.
375 = 1 * 250 + 125
= Remainder 125
9.
125 > 0. Repeat calculation
1.
Calculate the modulo
mod(250,125)
mod(250,125)
= 0
10.
250 = 2 * 125 + 0
= Remainder 0
11.
Mod = 0
= 125
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Votes: 0

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