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 250, 377, 742, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 377, 742, 780 is 1
GCD(250, 377, 742, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 377, 742, 780 is 1
GCD(250, 377, 742, 780) = 1
Given Input numbers are 250, 377, 742, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
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 250, 377, 742, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 377, 742, 780 is 1.
Therefore, GCD of numbers 250, 377, 742, 780 is 1
Given Input Data is 250, 377, 742, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 377 is 13 x 29
Prime Factorization of 742 is 2 x 7 x 53
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(250, 377) = 94250
GCD(250, 377) = ( 250 x 377 ) / 94250
GCD(250, 377) = 94250 / 94250
GCD(250, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 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 250, 377, 742, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 377, 742, 780?
GCD of 250, 377, 742, 780 is 1
2. Where do I get the detailed procedure to find GCD of 250, 377, 742, 780?
You can find a detailed procedure to find GCD of 250, 377, 742, 780 on our page.
3. How to find GCD of 250, 377, 742, 780 on a calculator?
You can find the GCD of 250, 377, 742, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.