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 157, 700, 644, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 157, 700, 644, 177 is 1
GCD(157, 700, 644, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 157, 700, 644, 177 is 1
GCD(157, 700, 644, 177) = 1
Given Input numbers are 157, 700, 644, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 157, 700, 644, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 700, 644, 177 is 1.
Therefore, GCD of numbers 157, 700, 644, 177 is 1
Given Input Data is 157, 700, 644, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 157 is 157
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 177 is 3 x 59
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(157, 700) = 109900
GCD(157, 700) = ( 157 x 700 ) / 109900
GCD(157, 700) = 109900 / 109900
GCD(157, 700) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
GCD(1, 644) = 644 / 644
GCD(1, 644) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 157, 700, 644, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 157, 700, 644, 177?
GCD of 157, 700, 644, 177 is 1
2. Where do I get the detailed procedure to find GCD of 157, 700, 644, 177?
You can find a detailed procedure to find GCD of 157, 700, 644, 177 on our page.
3. How to find GCD of 157, 700, 644, 177 on a calculator?
You can find the GCD of 157, 700, 644, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.