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GCD of 924, 109, 392, 375 Calculator

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


Online GCD Calculator is useful to find the GCD of 924, 109, 392, 375 quickly. Get the easiest ways to solve the greatest common divisor of 924, 109, 392, 375 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 924, 109, 392, 375 with Factoring?

Given Input numbers are 924, 109, 392, 375

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375


GCD of numbers is the greatest common divisor

So, the GCD (924, 109, 392, 375) = 1.

Find GCD of 924, 109, 392, 375 using Prime Factorization

Given numbers are 924, 109, 392, 375

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 109 are 109

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 375 are 3 x 5 x 5 x 5

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

Steps to Calculate GCD of 924, 109, 392, 375 using LCM Formula

Given numbers are 924, 109, 392, 375

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

Apply this formula for all numbers.

Step1:

LCM(924, 109) = 100716

GCD(924, 109) = ( 924 x 109 ) / 100716

= 924 / 109

= 924


Step2:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1


Step3:

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

= 1 / 375

= 1


So, Greatest Common Divisor of 924, 109, 392, 375 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 924, 109, 392, 375

Given numbers are 924, 109, 392, 375
The greatest common divisor of numbers 924, 109, 392, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 109, 392, 375 is 1.

FAQs on GCD of 924, 109, 392, 375 Calculator

1. What is the GCD of 924, 109, 392, 375?

GCD of given numbers 924, 109, 392, 375 is 1


2. How to calculate the greatest common divisor of 924, 109, 392, 375?

We can find the highest common divisor of 924, 109, 392, 375 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 924, 109, 392, 375 i.e 1.


3. How can I use the GCD of 924, 109, 392, 375Calculator?

Out the numbers 924, 109, 392, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.