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 940, 994, 564, 970 i.e. 2 largest integer that divides all the numbers equally.
GCD of 940, 994, 564, 970 is 2
GCD(940, 994, 564, 970) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 994, 564, 970 is 2
GCD(940, 994, 564, 970) = 2
Given Input numbers are 940, 994, 564, 970
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 940, 994, 564, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 994, 564, 970 is 2.
Therefore, GCD of numbers 940, 994, 564, 970 is 2
Given Input Data is 940, 994, 564, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 970 is 2 x 5 x 97
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(940, 994) = 467180
GCD(940, 994) = ( 940 x 994 ) / 467180
GCD(940, 994) = 934360 / 467180
GCD(940, 994) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
GCD(2, 564) = 1128 / 564
GCD(2, 564) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
GCD(2, 970) = 1940 / 970
GCD(2, 970) = 2
GCD of 940, 994, 564, 970 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 994, 564, 970?
GCD of 940, 994, 564, 970 is 2
2. Where do I get the detailed procedure to find GCD of 940, 994, 564, 970?
You can find a detailed procedure to find GCD of 940, 994, 564, 970 on our page.
3. How to find GCD of 940, 994, 564, 970 on a calculator?
You can find the GCD of 940, 994, 564, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.