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 856, 172, 157, 572 i.e. 1 largest integer that divides all the numbers equally.
GCD of 856, 172, 157, 572 is 1
GCD(856, 172, 157, 572) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 172, 157, 572 is 1
GCD(856, 172, 157, 572) = 1
Given Input numbers are 856, 172, 157, 572
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Greatest Common Divisior
We found the divisors of 856, 172, 157, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 172, 157, 572 is 1.
Therefore, GCD of numbers 856, 172, 157, 572 is 1
Given Input Data is 856, 172, 157, 572
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 157 is 157
Prime Factorization of 572 is 2 x 2 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(856, 172) = 36808
GCD(856, 172) = ( 856 x 172 ) / 36808
GCD(856, 172) = 147232 / 36808
GCD(856, 172) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 157) = 628
GCD(4, 157) = ( 4 x 157 ) / 628
GCD(4, 157) = 628 / 628
GCD(4, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
GCD of 856, 172, 157, 572 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 172, 157, 572?
GCD of 856, 172, 157, 572 is 1
2. Where do I get the detailed procedure to find GCD of 856, 172, 157, 572?
You can find a detailed procedure to find GCD of 856, 172, 157, 572 on our page.
3. How to find GCD of 856, 172, 157, 572 on a calculator?
You can find the GCD of 856, 172, 157, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.