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GCD of 375, 984, 896, 359 Calculator

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


Online GCD Calculator is useful to find the GCD of 375, 984, 896, 359 quickly. Get the easiest ways to solve the greatest common divisor of 375, 984, 896, 359 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 375, 984, 896, 359 with Factoring?

Given Input numbers are 375, 984, 896, 359

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

Divisors of 375 :

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

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359


GCD of numbers is the greatest common divisor

So, the GCD (375, 984, 896, 359) = 1.

Find GCD of 375, 984, 896, 359 using Prime Factorization

Given numbers are 375, 984, 896, 359

The list of prime factors of all numbers are

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 359 are 359

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

Steps to Calculate GCD of 375, 984, 896, 359 using LCM Formula

Given numbers are 375, 984, 896, 359

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

Apply this formula for all numbers.

Step1:

LCM(375, 984) = 123000

GCD(375, 984) = ( 375 x 984 ) / 123000

= 375 / 984

= 375


Step2:

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

= 3 / 896

= 3


Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1


So, Greatest Common Divisor of 375, 984, 896, 359 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 375, 984, 896, 359

Given numbers are 375, 984, 896, 359
The greatest common divisor of numbers 375, 984, 896, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 984, 896, 359 is 1.

FAQs on GCD of 375, 984, 896, 359 Calculator

1. What is the GCD of 375, 984, 896, 359?

GCD of given numbers 375, 984, 896, 359 is 1


2. How to calculate the greatest common divisor of 375, 984, 896, 359?

We can find the highest common divisor of 375, 984, 896, 359 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 375, 984, 896, 359 i.e 1.


3. How can I use the GCD of 375, 984, 896, 359Calculator?

Out the numbers 375, 984, 896, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.