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 536, 974, 157, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 536, 974, 157, 780 is 1
GCD(536, 974, 157, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 536, 974, 157, 780 is 1
GCD(536, 974, 157, 780) = 1
Given Input numbers are 536, 974, 157, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 536, 974, 157, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 974, 157, 780 is 1.
Therefore, GCD of numbers 536, 974, 157, 780 is 1
Given Input Data is 536, 974, 157, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 974 is 2 x 487
Prime Factorization of 157 is 157
Prime Factorization of 780 is 2 x 2 x 3 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(536, 974) = 261032
GCD(536, 974) = ( 536 x 974 ) / 261032
GCD(536, 974) = 522064 / 261032
GCD(536, 974) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
GCD(2, 157) = 314 / 314
GCD(2, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 536, 974, 157, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 536, 974, 157, 780?
GCD of 536, 974, 157, 780 is 1
2. Where do I get the detailed procedure to find GCD of 536, 974, 157, 780?
You can find a detailed procedure to find GCD of 536, 974, 157, 780 on our page.
3. How to find GCD of 536, 974, 157, 780 on a calculator?
You can find the GCD of 536, 974, 157, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.