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 numbers 975, 464, 69, 977 is 1
GCD(975, 464, 69, 977) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.