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 758, 878, 60, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 878, 60, 617 is 1
GCD(758, 878, 60, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 878, 60, 617 is 1
GCD(758, 878, 60, 617) = 1
Given Input numbers are 758, 878, 60, 617
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 758, 878, 60, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 878, 60, 617 is 1.
Therefore, GCD of numbers 758, 878, 60, 617 is 1
Given Input Data is 758, 878, 60, 617
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 878 is 2 x 439
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 617 is 617
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(758, 878) = 332762
GCD(758, 878) = ( 758 x 878 ) / 332762
GCD(758, 878) = 665524 / 332762
GCD(758, 878) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 60) = 60
GCD(2, 60) = ( 2 x 60 ) / 60
GCD(2, 60) = 120 / 60
GCD(2, 60) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 617) = 1234
GCD(2, 617) = ( 2 x 617 ) / 1234
GCD(2, 617) = 1234 / 1234
GCD(2, 617) = 1
GCD of 758, 878, 60, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 878, 60, 617?
GCD of 758, 878, 60, 617 is 1
2. Where do I get the detailed procedure to find GCD of 758, 878, 60, 617?
You can find a detailed procedure to find GCD of 758, 878, 60, 617 on our page.
3. How to find GCD of 758, 878, 60, 617 on a calculator?
You can find the GCD of 758, 878, 60, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.