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, 757, 578, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 757, 578, 907 is 1
GCD(975, 757, 578, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 757, 578, 907 is 1
GCD(975, 757, 578, 907) = 1
Given Input numbers are 975, 757, 578, 907
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 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 975, 757, 578, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 757, 578, 907 is 1.
Therefore, GCD of numbers 975, 757, 578, 907 is 1
Given Input Data is 975, 757, 578, 907
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 757 is 757
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 907 is 907
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, 757) = 738075
GCD(975, 757) = ( 975 x 757 ) / 738075
GCD(975, 757) = 738075 / 738075
GCD(975, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
GCD(1, 578) = 578 / 578
GCD(1, 578) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 975, 757, 578, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 757, 578, 907?
GCD of 975, 757, 578, 907 is 1
2. Where do I get the detailed procedure to find GCD of 975, 757, 578, 907?
You can find a detailed procedure to find GCD of 975, 757, 578, 907 on our page.
3. How to find GCD of 975, 757, 578, 907 on a calculator?
You can find the GCD of 975, 757, 578, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.