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GCD of 920, 122, 409, 378 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, 122, 409, 378 quickly. Get the easiest ways to solve the greatest common divisor of 920, 122, 409, 378 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 122, 409, 378 with Factoring?

Given Input numbers are 920, 122, 409, 378

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378


GCD of numbers is the greatest common divisor

So, the GCD (920, 122, 409, 378) = 1.

Find GCD of 920, 122, 409, 378 using Prime Factorization

Given numbers are 920, 122, 409, 378

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 122 are 2 x 61

Prime factors of 409 are 409

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 920, 122, 409, 378 using LCM Formula

Given numbers are 920, 122, 409, 378

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

Apply this formula for all numbers.

Step1:

LCM(920, 122) = 56120

GCD(920, 122) = ( 920 x 122 ) / 56120

= 920 / 122

= 920


Step2:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2


Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1


So, Greatest Common Divisor of 920, 122, 409, 378 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 122, 409, 378

Given numbers are 920, 122, 409, 378
The greatest common divisor of numbers 920, 122, 409, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 122, 409, 378 is 1.

FAQs on GCD of 920, 122, 409, 378 Calculator

1. What is the GCD of 920, 122, 409, 378?

GCD of given numbers 920, 122, 409, 378 is 1


2. How to calculate the greatest common divisor of 920, 122, 409, 378?

We can find the highest common divisor of 920, 122, 409, 378 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, 122, 409, 378 i.e 1.


3. How can I use the GCD of 920, 122, 409, 378Calculator?

Out the numbers 920, 122, 409, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.