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 88, 757, 290, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 757, 290, 975 is 1
GCD(88, 757, 290, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 757, 290, 975 is 1
GCD(88, 757, 290, 975) = 1
Given Input numbers are 88, 757, 290, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
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
Greatest Common Divisior
We found the divisors of 88, 757, 290, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 757, 290, 975 is 1.
Therefore, GCD of numbers 88, 757, 290, 975 is 1
Given Input Data is 88, 757, 290, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 757 is 757
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 975 is 3 x 5 x 5 x 13
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(88, 757) = 66616
GCD(88, 757) = ( 88 x 757 ) / 66616
GCD(88, 757) = 66616 / 66616
GCD(88, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
GCD(1, 290) = 290 / 290
GCD(1, 290) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 88, 757, 290, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 757, 290, 975?
GCD of 88, 757, 290, 975 is 1
2. Where do I get the detailed procedure to find GCD of 88, 757, 290, 975?
You can find a detailed procedure to find GCD of 88, 757, 290, 975 on our page.
3. How to find GCD of 88, 757, 290, 975 on a calculator?
You can find the GCD of 88, 757, 290, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.