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 974, 745, 89, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 745, 89, 101 is 1
GCD(974, 745, 89, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 745, 89, 101 is 1
GCD(974, 745, 89, 101) = 1
Given Input numbers are 974, 745, 89, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 974, 745, 89, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 745, 89, 101 is 1.
Therefore, GCD of numbers 974, 745, 89, 101 is 1
Given Input Data is 974, 745, 89, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 745 is 5 x 149
Prime Factorization of 89 is 89
Prime Factorization of 101 is 101
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(974, 745) = 725630
GCD(974, 745) = ( 974 x 745 ) / 725630
GCD(974, 745) = 725630 / 725630
GCD(974, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 101) = 101
GCD(1, 101) = ( 1 x 101 ) / 101
GCD(1, 101) = 101 / 101
GCD(1, 101) = 1
GCD of 974, 745, 89, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 745, 89, 101?
GCD of 974, 745, 89, 101 is 1
2. Where do I get the detailed procedure to find GCD of 974, 745, 89, 101?
You can find a detailed procedure to find GCD of 974, 745, 89, 101 on our page.
3. How to find GCD of 974, 745, 89, 101 on a calculator?
You can find the GCD of 974, 745, 89, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.