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GCD of 491, 928, 338, 957 Calculator

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


Online GCD Calculator is useful to find the GCD of 491, 928, 338, 957 quickly. Get the easiest ways to solve the greatest common divisor of 491, 928, 338, 957 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 928, 338, 957 with Factoring?

Given Input numbers are 491, 928, 338, 957

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957


GCD of numbers is the greatest common divisor

So, the GCD (491, 928, 338, 957) = 1.

Find GCD of 491, 928, 338, 957 using Prime Factorization

Given numbers are 491, 928, 338, 957

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 338 are 2 x 13 x 13

Prime factors of 957 are 3 x 11 x 29

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

Steps to Calculate GCD of 491, 928, 338, 957 using LCM Formula

Given numbers are 491, 928, 338, 957

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

Apply this formula for all numbers.

Step1:

LCM(491, 928) = 455648

GCD(491, 928) = ( 491 x 928 ) / 455648

= 491 / 928

= 491


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

= 1 / 957

= 1


So, Greatest Common Divisor of 491, 928, 338, 957 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 928, 338, 957

Given numbers are 491, 928, 338, 957
The greatest common divisor of numbers 491, 928, 338, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 928, 338, 957 is 1.

FAQs on GCD of 491, 928, 338, 957 Calculator

1. What is the GCD of 491, 928, 338, 957?

GCD of given numbers 491, 928, 338, 957 is 1


2. How to calculate the greatest common divisor of 491, 928, 338, 957?

We can find the highest common divisor of 491, 928, 338, 957 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 491, 928, 338, 957 i.e 1.


3. How can I use the GCD of 491, 928, 338, 957Calculator?

Out the numbers 491, 928, 338, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.