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 956, 466, 70, 564 i.e. 2 largest integer that divides all the numbers equally.
GCD of 956, 466, 70, 564 is 2
GCD(956, 466, 70, 564) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 466, 70, 564 is 2
GCD(956, 466, 70, 564) = 2
Given Input numbers are 956, 466, 70, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
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
Greatest Common Divisior
We found the divisors of 956, 466, 70, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 466, 70, 564 is 2.
Therefore, GCD of numbers 956, 466, 70, 564 is 2
Given Input Data is 956, 466, 70, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 466 is 2 x 233
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(956, 466) = 222748
GCD(956, 466) = ( 956 x 466 ) / 222748
GCD(956, 466) = 445496 / 222748
GCD(956, 466) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
GCD(2, 70) = 140 / 70
GCD(2, 70) = 2
Step3:
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
GCD of 956, 466, 70, 564 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 466, 70, 564?
GCD of 956, 466, 70, 564 is 2
2. Where do I get the detailed procedure to find GCD of 956, 466, 70, 564?
You can find a detailed procedure to find GCD of 956, 466, 70, 564 on our page.
3. How to find GCD of 956, 466, 70, 564 on a calculator?
You can find the GCD of 956, 466, 70, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.