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 50, 372, 735, 715 i.e. 1 largest integer that divides all the numbers equally.
GCD of 50, 372, 735, 715 is 1
GCD(50, 372, 735, 715) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 372, 735, 715 is 1
GCD(50, 372, 735, 715) = 1
Given Input numbers are 50, 372, 735, 715
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Greatest Common Divisior
We found the divisors of 50, 372, 735, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 372, 735, 715 is 1.
Therefore, GCD of numbers 50, 372, 735, 715 is 1
Given Input Data is 50, 372, 735, 715
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 715 is 5 x 11 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(50, 372) = 9300
GCD(50, 372) = ( 50 x 372 ) / 9300
GCD(50, 372) = 18600 / 9300
GCD(50, 372) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 735) = 1470
GCD(2, 735) = ( 2 x 735 ) / 1470
GCD(2, 735) = 1470 / 1470
GCD(2, 735) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
GCD(1, 715) = 715 / 715
GCD(1, 715) = 1
GCD of 50, 372, 735, 715 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 372, 735, 715?
GCD of 50, 372, 735, 715 is 1
2. Where do I get the detailed procedure to find GCD of 50, 372, 735, 715?
You can find a detailed procedure to find GCD of 50, 372, 735, 715 on our page.
3. How to find GCD of 50, 372, 735, 715 on a calculator?
You can find the GCD of 50, 372, 735, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.