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GCD of 838, 756, 125, 538 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 756, 125, 538 quickly. Get the easiest ways to solve the greatest common divisor of 838, 756, 125, 538 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 756, 125, 538 with Factoring?

Given Input numbers are 838, 756, 125, 538

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538


GCD of numbers is the greatest common divisor

So, the GCD (838, 756, 125, 538) = 1.

Find GCD of 838, 756, 125, 538 using Prime Factorization

Given numbers are 838, 756, 125, 538

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 125 are 5 x 5 x 5

Prime factors of 538 are 2 x 269

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

Steps to Calculate GCD of 838, 756, 125, 538 using LCM Formula

Given numbers are 838, 756, 125, 538

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

Apply this formula for all numbers.

Step1:

LCM(838, 756) = 316764

GCD(838, 756) = ( 838 x 756 ) / 316764

= 838 / 756

= 838


Step2:

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

= 2 / 125

= 2


Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1


So, Greatest Common Divisor of 838, 756, 125, 538 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 756, 125, 538

Given numbers are 838, 756, 125, 538
The greatest common divisor of numbers 838, 756, 125, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 756, 125, 538 is 1.

FAQs on GCD of 838, 756, 125, 538 Calculator

1. What is the GCD of 838, 756, 125, 538?

GCD of given numbers 838, 756, 125, 538 is 1


2. How to calculate the greatest common divisor of 838, 756, 125, 538?

We can find the highest common divisor of 838, 756, 125, 538 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 838, 756, 125, 538 i.e 1.


3. How can I use the GCD of 838, 756, 125, 538Calculator?

Out the numbers 838, 756, 125, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.