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GCD of 574, 991, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 574, 991, 920 quickly. Get the easiest ways to solve the greatest common divisor of 574, 991, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 574, 991, 920 with Factoring?

Given Input numbers are 574, 991, 920

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (574, 991, 920) = 1.

Find GCD of 574, 991, 920 using Prime Factorization

Given numbers are 574, 991, 920

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 991 are 991

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Steps to Calculate GCD of 574, 991, 920 using LCM Formula

Given numbers are 574, 991, 920

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

Apply this formula for all numbers.

Step1:

LCM(574, 991) = 568834

GCD(574, 991) = ( 574 x 991 ) / 568834

= 574 / 991

= 574


Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


So, Greatest Common Divisor of 574, 991, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 574, 991, 920

Given numbers are 574, 991, 920
The greatest common divisor of numbers 574, 991, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 991, 920 is 1.

FAQs on GCD of 574, 991, 920 Calculator

1. What is the GCD of 574, 991, 920?

GCD of given numbers 574, 991, 920 is 1


2. How to calculate the greatest common divisor of 574, 991, 920?

We can find the highest common divisor of 574, 991, 920 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 574, 991, 920 i.e 1.


3. How can I use the GCD of 574, 991, 920Calculator?

Out the numbers 574, 991, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.