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 972, 768, 395, 245 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 768, 395, 245 quickly. Get the easiest ways to solve the greatest common divisor of 972, 768, 395, 245 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 768, 395, 245 with Factoring?

Given Input numbers are 972, 768, 395, 245

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245


GCD of numbers is the greatest common divisor

So, the GCD (972, 768, 395, 245) = 1.

Find GCD of 972, 768, 395, 245 using Prime Factorization

Given numbers are 972, 768, 395, 245

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 395 are 5 x 79

Prime factors of 245 are 5 x 7 x 7

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

Steps to Calculate GCD of 972, 768, 395, 245 using LCM Formula

Given numbers are 972, 768, 395, 245

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

Apply this formula for all numbers.

Step1:

LCM(972, 768) = 62208

GCD(972, 768) = ( 972 x 768 ) / 62208

= 972 / 768

= 972


Step2:

LCM(12, 395) = 4740

GCD(12, 395) = ( 12 x 395 ) / 4740

= 12 / 395

= 12


Step3:

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

= 1 / 245

= 1


So, Greatest Common Divisor of 972, 768, 395, 245 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 768, 395, 245

Given numbers are 972, 768, 395, 245
The greatest common divisor of numbers 972, 768, 395, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 768, 395, 245 is 1.

FAQs on GCD of 972, 768, 395, 245 Calculator

1. What is the GCD of 972, 768, 395, 245?

GCD of given numbers 972, 768, 395, 245 is 1


2. How to calculate the greatest common divisor of 972, 768, 395, 245?

We can find the highest common divisor of 972, 768, 395, 245 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 972, 768, 395, 245 i.e 1.


3. How can I use the GCD of 972, 768, 395, 245Calculator?

Out the numbers 972, 768, 395, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.