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 235, 980, 157, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 235, 980, 157, 895 is 1
GCD(235, 980, 157, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 235, 980, 157, 895 is 1
GCD(235, 980, 157, 895) = 1
Given Input numbers are 235, 980, 157, 895
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 235, 980, 157, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 980, 157, 895 is 1.
Therefore, GCD of numbers 235, 980, 157, 895 is 1
Given Input Data is 235, 980, 157, 895
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 235 is 5 x 47
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 157 is 157
Prime Factorization of 895 is 5 x 179
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(235, 980) = 46060
GCD(235, 980) = ( 235 x 980 ) / 46060
GCD(235, 980) = 230300 / 46060
GCD(235, 980) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 157) = 785
GCD(5, 157) = ( 5 x 157 ) / 785
GCD(5, 157) = 785 / 785
GCD(5, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 895) = 895
GCD(1, 895) = ( 1 x 895 ) / 895
GCD(1, 895) = 895 / 895
GCD(1, 895) = 1
GCD of 235, 980, 157, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 235, 980, 157, 895?
GCD of 235, 980, 157, 895 is 1
2. Where do I get the detailed procedure to find GCD of 235, 980, 157, 895?
You can find a detailed procedure to find GCD of 235, 980, 157, 895 on our page.
3. How to find GCD of 235, 980, 157, 895 on a calculator?
You can find the GCD of 235, 980, 157, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.