GCD of 975, 464, 69, 977 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 975, 464, 69, 977 i.e. 1 largest integer that divides all the numbers equally.

GCD of 975, 464, 69, 977 is 1

GCD(975, 464, 69, 977) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 975, 464, 69, 977 is 1

GCD(975, 464, 69, 977) = 1

GCD of 975,464,69,977 Calculator

GCDof 975,464,69,977 is 1

Given Input numbers are 975, 464, 69, 977

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 975, 464, 69, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 464, 69, 977 is 1.

Therefore, GCD of numbers 975, 464, 69, 977 is 1

Finding GCD of 975, 464, 69, 977 using Prime Factorization

Given Input Data is 975, 464, 69, 977

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 69 is 3 x 23

Prime Factorization of 977 is 977

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

Finding GCD of 975, 464, 69, 977 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(975, 464) = 452400

GCD(975, 464) = ( 975 x 464 ) / 452400

GCD(975, 464) = 452400 / 452400

GCD(975, 464) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 975, 464, 69, 977 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 975, 464, 69, 977

1. What is the GCD of 975, 464, 69, 977?

GCD of 975, 464, 69, 977 is 1


2. Where do I get the detailed procedure to find GCD of 975, 464, 69, 977?

You can find a detailed procedure to find GCD of 975, 464, 69, 977 on our page.


3. How to find GCD of 975, 464, 69, 977 on a calculator?

You can find the GCD of 975, 464, 69, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.