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GCD of 374, 858, 309, 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 374, 858, 309, 920 quickly. Get the easiest ways to solve the greatest common divisor of 374, 858, 309, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 374, 858, 309, 920 with Factoring?

Given Input numbers are 374, 858, 309, 920

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 309 :

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

1, 3, 103, 309

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 (374, 858, 309, 920) = 1.

Find GCD of 374, 858, 309, 920 using Prime Factorization

Given numbers are 374, 858, 309, 920

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 309 are 3 x 103

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 374, 858, 309, 920 using LCM Formula

Given numbers are 374, 858, 309, 920

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

Apply this formula for all numbers.

Step1:

LCM(374, 858) = 14586

GCD(374, 858) = ( 374 x 858 ) / 14586

= 374 / 858

= 374


Step2:

LCM(22, 309) = 6798

GCD(22, 309) = ( 22 x 309 ) / 6798

= 22 / 309

= 22


Step3:

LCM(1, 920) = 920

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

= 1 / 920

= 1


So, Greatest Common Divisor of 374, 858, 309, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 374, 858, 309, 920

Given numbers are 374, 858, 309, 920
The greatest common divisor of numbers 374, 858, 309, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 858, 309, 920 is 1.

FAQs on GCD of 374, 858, 309, 920 Calculator

1. What is the GCD of 374, 858, 309, 920?

GCD of given numbers 374, 858, 309, 920 is 1


2. How to calculate the greatest common divisor of 374, 858, 309, 920?

We can find the highest common divisor of 374, 858, 309, 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 374, 858, 309, 920 i.e 1.


3. How can I use the GCD of 374, 858, 309, 920Calculator?

Out the numbers 374, 858, 309, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.