LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 975, 654, 497, 389 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 654, 497, 389 quickly. Get the easiest ways to solve the greatest common divisor of 975, 654, 497, 389 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 654, 497, 389 with Factoring?

Given Input numbers are 975, 654, 497, 389

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389


GCD of numbers is the greatest common divisor

So, the GCD (975, 654, 497, 389) = 1.

Find GCD of 975, 654, 497, 389 using Prime Factorization

Given numbers are 975, 654, 497, 389

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 654 are 2 x 3 x 109

Prime factors of 497 are 7 x 71

Prime factors of 389 are 389

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

Steps to Calculate GCD of 975, 654, 497, 389 using LCM Formula

Given numbers are 975, 654, 497, 389

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

Apply this formula for all numbers.

Step1:

LCM(975, 654) = 212550

GCD(975, 654) = ( 975 x 654 ) / 212550

= 975 / 654

= 975


Step2:

LCM(3, 497) = 1491

GCD(3, 497) = ( 3 x 497 ) / 1491

= 3 / 497

= 3


Step3:

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

= 1 / 389

= 1


So, Greatest Common Divisor of 975, 654, 497, 389 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 654, 497, 389

Given numbers are 975, 654, 497, 389
The greatest common divisor of numbers 975, 654, 497, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 654, 497, 389 is 1.

FAQs on GCD of 975, 654, 497, 389 Calculator

1. What is the GCD of 975, 654, 497, 389?

GCD of given numbers 975, 654, 497, 389 is 1


2. How to calculate the greatest common divisor of 975, 654, 497, 389?

We can find the highest common divisor of 975, 654, 497, 389 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 975, 654, 497, 389 i.e 1.


3. How can I use the GCD of 975, 654, 497, 389Calculator?

Out the numbers 975, 654, 497, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.