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 874, 746, 901, 715 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 746, 901, 715 is 1
GCD(874, 746, 901, 715) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 746, 901, 715 is 1
GCD(874, 746, 901, 715) = 1
Given Input numbers are 874, 746, 901, 715
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
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 874, 746, 901, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 746, 901, 715 is 1.
Therefore, GCD of numbers 874, 746, 901, 715 is 1
Given Input Data is 874, 746, 901, 715
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 746 is 2 x 373
Prime Factorization of 901 is 17 x 53
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(874, 746) = 326002
GCD(874, 746) = ( 874 x 746 ) / 326002
GCD(874, 746) = 652004 / 326002
GCD(874, 746) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 901) = 1802
GCD(2, 901) = ( 2 x 901 ) / 1802
GCD(2, 901) = 1802 / 1802
GCD(2, 901) = 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 874, 746, 901, 715 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 746, 901, 715?
GCD of 874, 746, 901, 715 is 1
2. Where do I get the detailed procedure to find GCD of 874, 746, 901, 715?
You can find a detailed procedure to find GCD of 874, 746, 901, 715 on our page.
3. How to find GCD of 874, 746, 901, 715 on a calculator?
You can find the GCD of 874, 746, 901, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.