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GCD of 920, 668, 770, 274 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, 668, 770, 274 quickly. Get the easiest ways to solve the greatest common divisor of 920, 668, 770, 274 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 668, 770, 274 with Factoring?

Given Input numbers are 920, 668, 770, 274

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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274


GCD of numbers is the greatest common divisor

So, the GCD (920, 668, 770, 274) = 2.

Find GCD of 920, 668, 770, 274 using Prime Factorization

Given numbers are 920, 668, 770, 274

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 668 are 2 x 2 x 167

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 274 are 2 x 137

The highest common occurrence is 21

Therefore, GCD of 920, 668, 770, 274 is 2.

Steps to Calculate GCD of 920, 668, 770, 274 using LCM Formula

Given numbers are 920, 668, 770, 274

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

Apply this formula for all numbers.

Step1:

LCM(920, 668) = 153640

GCD(920, 668) = ( 920 x 668 ) / 153640

= 920 / 668

= 920


Step2:

LCM(4, 770) = 1540

GCD(4, 770) = ( 4 x 770 ) / 1540

= 4 / 770

= 4


Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2


So, Greatest Common Divisor of 920, 668, 770, 274 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 668, 770, 274

Given numbers are 920, 668, 770, 274
The greatest common divisor of numbers 920, 668, 770, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 668, 770, 274 is 2.

FAQs on GCD of 920, 668, 770, 274 Calculator

1. What is the GCD of 920, 668, 770, 274?

GCD of given numbers 920, 668, 770, 274 is 2


2. How to calculate the greatest common divisor of 920, 668, 770, 274?

We can find the highest common divisor of 920, 668, 770, 274 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, 668, 770, 274 i.e 2.


3. How can I use the GCD of 920, 668, 770, 274Calculator?

Out the numbers 920, 668, 770, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.