GCD of 625, 274, 77, 826 Calculator

Given Input numbers are 625, 274, 77, 826

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 625, 274, 77, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 274, 77, 826 is 1.

Therefore, GCD of numbers 625, 274, 77, 826 is 1

Given Input Data is 625, 274, 77, 826

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 274 is 2 x 137

Prime Factorization of 77 is 7 x 11

Prime Factorization of 826 is 2 x 7 x 59

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(625, 274) = 171250

GCD(625, 274) = ( 625 x 274 ) / 171250

GCD(625, 274) = 171250 / 171250

GCD(625, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 625, 274, 77, 826 is 1

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1. What is the GCD of 625, 274, 77, 826?

GCD of 625, 274, 77, 826 is 1

2. Where do I get the detailed procedure to find GCD of 625, 274, 77, 826?

You can find a detailed procedure to find GCD of 625, 274, 77, 826 on our page.

3. How to find GCD of 625, 274, 77, 826 on a calculator?

You can find the GCD of 625, 274, 77, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.