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 980, 136, 295, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 136, 295, 400 is 1
GCD(980, 136, 295, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 136, 295, 400 is 1
GCD(980, 136, 295, 400) = 1
Given Input numbers are 980, 136, 295, 400
To find the GCD of numbers using factoring list out all the divisors of each number
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 980, 136, 295, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 136, 295, 400 is 1.
Therefore, GCD of numbers 980, 136, 295, 400 is 1
Given Input Data is 980, 136, 295, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 295 is 5 x 59
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(980, 136) = 33320
GCD(980, 136) = ( 980 x 136 ) / 33320
GCD(980, 136) = 133280 / 33320
GCD(980, 136) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 295) = 1180
GCD(4, 295) = ( 4 x 295 ) / 1180
GCD(4, 295) = 1180 / 1180
GCD(4, 295) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 980, 136, 295, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 136, 295, 400?
GCD of 980, 136, 295, 400 is 1
2. Where do I get the detailed procedure to find GCD of 980, 136, 295, 400?
You can find a detailed procedure to find GCD of 980, 136, 295, 400 on our page.
3. How to find GCD of 980, 136, 295, 400 on a calculator?
You can find the GCD of 980, 136, 295, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.