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 977, 114, 524, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 977, 114, 524, 758 is 1
GCD(977, 114, 524, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 977, 114, 524, 758 is 1
GCD(977, 114, 524, 758) = 1
Given Input numbers are 977, 114, 524, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 977, 114, 524, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 114, 524, 758 is 1.
Therefore, GCD of numbers 977, 114, 524, 758 is 1
Given Input Data is 977, 114, 524, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 977 is 977
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 758 is 2 x 379
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(977, 114) = 111378
GCD(977, 114) = ( 977 x 114 ) / 111378
GCD(977, 114) = 111378 / 111378
GCD(977, 114) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
GCD(1, 524) = 524 / 524
GCD(1, 524) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 977, 114, 524, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 977, 114, 524, 758?
GCD of 977, 114, 524, 758 is 1
2. Where do I get the detailed procedure to find GCD of 977, 114, 524, 758?
You can find a detailed procedure to find GCD of 977, 114, 524, 758 on our page.
3. How to find GCD of 977, 114, 524, 758 on a calculator?
You can find the GCD of 977, 114, 524, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.