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 71, 677, 745, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 677, 745, 157 is 1
GCD(71, 677, 745, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 677, 745, 157 is 1
GCD(71, 677, 745, 157) = 1
Given Input numbers are 71, 677, 745, 157
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 71, 677, 745, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 677, 745, 157 is 1.
Therefore, GCD of numbers 71, 677, 745, 157 is 1
Given Input Data is 71, 677, 745, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 677 is 677
Prime Factorization of 745 is 5 x 149
Prime Factorization of 157 is 157
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(71, 677) = 48067
GCD(71, 677) = ( 71 x 677 ) / 48067
GCD(71, 677) = 48067 / 48067
GCD(71, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 71, 677, 745, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 677, 745, 157?
GCD of 71, 677, 745, 157 is 1
2. Where do I get the detailed procedure to find GCD of 71, 677, 745, 157?
You can find a detailed procedure to find GCD of 71, 677, 745, 157 on our page.
3. How to find GCD of 71, 677, 745, 157 on a calculator?
You can find the GCD of 71, 677, 745, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.