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GCD of 981, 754, 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 981, 754, 375 quickly. Get the easiest ways to solve the greatest common divisor of 981, 754, 375 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 981, 754, 375 with Factoring?

Given Input numbers are 981, 754, 375

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

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 (981, 754, 375) = 1.

Find GCD of 981, 754, 375 using Prime Factorization

Given numbers are 981, 754, 375

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 754 are 2 x 13 x 29

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 981, 754, 375 using LCM Formula

Given numbers are 981, 754, 375

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

Apply this formula for all numbers.

Step1:

LCM(981, 754) = 739674

GCD(981, 754) = ( 981 x 754 ) / 739674

= 981 / 754

= 981


Step2:

LCM(1, 375) = 375

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

= 1 / 375

= 1


So, Greatest Common Divisor of 981, 754, 375 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 981, 754, 375

Given numbers are 981, 754, 375
The greatest common divisor of numbers 981, 754, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 754, 375 is 1.

FAQs on GCD of 981, 754, 375 Calculator

1. What is the GCD of 981, 754, 375?

GCD of given numbers 981, 754, 375 is 1


2. How to calculate the greatest common divisor of 981, 754, 375?

We can find the highest common divisor of 981, 754, 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 981, 754, 375 i.e 1.


3. How can I use the GCD of 981, 754, 375Calculator?

Out the numbers 981, 754, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.