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GCD of 747, 525, 925, 676 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 747, 525, 925, 676 quickly. Get the easiest ways to solve the greatest common divisor of 747, 525, 925, 676 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 525, 925, 676 with Factoring?

Given Input numbers are 747, 525, 925, 676

In the factoring method, we have to find the divisors of all numbers

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676


GCD of numbers is the greatest common divisor

So, the GCD (747, 525, 925, 676) = 1.

Find GCD of 747, 525, 925, 676 using Prime Factorization

Given numbers are 747, 525, 925, 676

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 925 are 5 x 5 x 37

Prime factors of 676 are 2 x 2 x 13 x 13

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

Steps to Calculate GCD of 747, 525, 925, 676 using LCM Formula

Given numbers are 747, 525, 925, 676

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(747, 525) = 130725

GCD(747, 525) = ( 747 x 525 ) / 130725

= 747 / 525

= 747


Step2:

LCM(3, 925) = 2775

GCD(3, 925) = ( 3 x 925 ) / 2775

= 3 / 925

= 3


Step3:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1


So, Greatest Common Divisor of 747, 525, 925, 676 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 525, 925, 676

Given numbers are 747, 525, 925, 676
The greatest common divisor of numbers 747, 525, 925, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 525, 925, 676 is 1.

FAQs on GCD of 747, 525, 925, 676 Calculator

1. What is the GCD of 747, 525, 925, 676?

GCD of given numbers 747, 525, 925, 676 is 1


2. How to calculate the greatest common divisor of 747, 525, 925, 676?

We can find the highest common divisor of 747, 525, 925, 676 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 747, 525, 925, 676 i.e 1.


3. How can I use the GCD of 747, 525, 925, 676Calculator?

Out the numbers 747, 525, 925, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.