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, 842, 158, 964 i.e. 2 largest integer that divides all the numbers equally.
GCD of 980, 842, 158, 964 is 2
GCD(980, 842, 158, 964) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 842, 158, 964 is 2
GCD(980, 842, 158, 964) = 2
Given Input numbers are 980, 842, 158, 964
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 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 980, 842, 158, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 842, 158, 964 is 2.
Therefore, GCD of numbers 980, 842, 158, 964 is 2
Given Input Data is 980, 842, 158, 964
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 842 is 2 x 421
Prime Factorization of 158 is 2 x 79
Prime Factorization of 964 is 2 x 2 x 241
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 842) = 412580
GCD(980, 842) = ( 980 x 842 ) / 412580
GCD(980, 842) = 825160 / 412580
GCD(980, 842) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 158) = 158
GCD(2, 158) = ( 2 x 158 ) / 158
GCD(2, 158) = 316 / 158
GCD(2, 158) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
GCD(2, 964) = 1928 / 964
GCD(2, 964) = 2
GCD of 980, 842, 158, 964 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 842, 158, 964?
GCD of 980, 842, 158, 964 is 2
2. Where do I get the detailed procedure to find GCD of 980, 842, 158, 964?
You can find a detailed procedure to find GCD of 980, 842, 158, 964 on our page.
3. How to find GCD of 980, 842, 158, 964 on a calculator?
You can find the GCD of 980, 842, 158, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.