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 876, 750, 61, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 750, 61, 359 is 1
GCD(876, 750, 61, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 750, 61, 359 is 1
GCD(876, 750, 61, 359) = 1
Given Input numbers are 876, 750, 61, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 876, 750, 61, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 750, 61, 359 is 1.
Therefore, GCD of numbers 876, 750, 61, 359 is 1
Given Input Data is 876, 750, 61, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 61 is 61
Prime Factorization of 359 is 359
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(876, 750) = 109500
GCD(876, 750) = ( 876 x 750 ) / 109500
GCD(876, 750) = 657000 / 109500
GCD(876, 750) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 61) = 366
GCD(6, 61) = ( 6 x 61 ) / 366
GCD(6, 61) = 366 / 366
GCD(6, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 876, 750, 61, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 750, 61, 359?
GCD of 876, 750, 61, 359 is 1
2. Where do I get the detailed procedure to find GCD of 876, 750, 61, 359?
You can find a detailed procedure to find GCD of 876, 750, 61, 359 on our page.
3. How to find GCD of 876, 750, 61, 359 on a calculator?
You can find the GCD of 876, 750, 61, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.