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GCD of 757, 925, 309, 980 Calculator

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


Online GCD Calculator is useful to find the GCD of 757, 925, 309, 980 quickly. Get the easiest ways to solve the greatest common divisor of 757, 925, 309, 980 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 757, 925, 309, 980 with Factoring?

Given Input numbers are 757, 925, 309, 980

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

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757

Divisors of 925 :

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

1, 5, 25, 37, 185, 925

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980


GCD of numbers is the greatest common divisor

So, the GCD (757, 925, 309, 980) = 1.

Find GCD of 757, 925, 309, 980 using Prime Factorization

Given numbers are 757, 925, 309, 980

The list of prime factors of all numbers are

Prime factors of 757 are 757

Prime factors of 925 are 5 x 5 x 37

Prime factors of 309 are 3 x 103

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Steps to Calculate GCD of 757, 925, 309, 980 using LCM Formula

Given numbers are 757, 925, 309, 980

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

Apply this formula for all numbers.

Step1:

LCM(757, 925) = 700225

GCD(757, 925) = ( 757 x 925 ) / 700225

= 757 / 925

= 757


Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1


Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1


So, Greatest Common Divisor of 757, 925, 309, 980 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 757, 925, 309, 980

Given numbers are 757, 925, 309, 980
The greatest common divisor of numbers 757, 925, 309, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 757, 925, 309, 980 is 1.

FAQs on GCD of 757, 925, 309, 980 Calculator

1. What is the GCD of 757, 925, 309, 980?

GCD of given numbers 757, 925, 309, 980 is 1


2. How to calculate the greatest common divisor of 757, 925, 309, 980?

We can find the highest common divisor of 757, 925, 309, 980 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 757, 925, 309, 980 i.e 1.


3. How can I use the GCD of 757, 925, 309, 980Calculator?

Out the numbers 757, 925, 309, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.