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GCD of 920, 824, 310, 262 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, 824, 310, 262 quickly. Get the easiest ways to solve the greatest common divisor of 920, 824, 310, 262 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 824, 310, 262 with Factoring?

Given Input numbers are 920, 824, 310, 262

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262


GCD of numbers is the greatest common divisor

So, the GCD (920, 824, 310, 262) = 2.

Find GCD of 920, 824, 310, 262 using Prime Factorization

Given numbers are 920, 824, 310, 262

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 824 are 2 x 2 x 2 x 103

Prime factors of 310 are 2 x 5 x 31

Prime factors of 262 are 2 x 131

The highest common occurrence is 21

Therefore, GCD of 920, 824, 310, 262 is 2.

Steps to Calculate GCD of 920, 824, 310, 262 using LCM Formula

Given numbers are 920, 824, 310, 262

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

Apply this formula for all numbers.

Step1:

LCM(920, 824) = 94760

GCD(920, 824) = ( 920 x 824 ) / 94760

= 920 / 824

= 920


Step2:

LCM(8, 310) = 1240

GCD(8, 310) = ( 8 x 310 ) / 1240

= 8 / 310

= 8


Step3:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2


So, Greatest Common Divisor of 920, 824, 310, 262 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 824, 310, 262

Given numbers are 920, 824, 310, 262
The greatest common divisor of numbers 920, 824, 310, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 824, 310, 262 is 2.

FAQs on GCD of 920, 824, 310, 262 Calculator

1. What is the GCD of 920, 824, 310, 262?

GCD of given numbers 920, 824, 310, 262 is 2


2. How to calculate the greatest common divisor of 920, 824, 310, 262?

We can find the highest common divisor of 920, 824, 310, 262 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, 824, 310, 262 i.e 2.


3. How can I use the GCD of 920, 824, 310, 262Calculator?

Out the numbers 920, 824, 310, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.