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GCD of 920, 446, 958, 936 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 446, 958, 936 quickly. Get the easiest ways to solve the greatest common divisor of 920, 446, 958, 936 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 446, 958, 936 with Factoring?

Given Input numbers are 920, 446, 958, 936

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

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936


GCD of numbers is the greatest common divisor

So, the GCD (920, 446, 958, 936) = 2.

Find GCD of 920, 446, 958, 936 using Prime Factorization

Given numbers are 920, 446, 958, 936

The list of prime factors of all numbers are

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

Prime factors of 446 are 2 x 223

Prime factors of 958 are 2 x 479

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 920, 446, 958, 936 is 2.

Steps to Calculate GCD of 920, 446, 958, 936 using LCM Formula

Given numbers are 920, 446, 958, 936

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

Apply this formula for all numbers.

Step1:

LCM(920, 446) = 205160

GCD(920, 446) = ( 920 x 446 ) / 205160

= 920 / 446

= 920


Step2:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2


Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2


So, Greatest Common Divisor of 920, 446, 958, 936 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 446, 958, 936

Given numbers are 920, 446, 958, 936
The greatest common divisor of numbers 920, 446, 958, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 446, 958, 936 is 2.

FAQs on GCD of 920, 446, 958, 936 Calculator

1. What is the GCD of 920, 446, 958, 936?

GCD of given numbers 920, 446, 958, 936 is 2


2. How to calculate the greatest common divisor of 920, 446, 958, 936?

We can find the highest common divisor of 920, 446, 958, 936 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 920, 446, 958, 936 i.e 2.


3. How can I use the GCD of 920, 446, 958, 936Calculator?

Out the numbers 920, 446, 958, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.