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 952, 624, 60, 874 i.e. 2 largest integer that divides all the numbers equally.
GCD of 952, 624, 60, 874 is 2
GCD(952, 624, 60, 874) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 624, 60, 874 is 2
GCD(952, 624, 60, 874) = 2
Given Input numbers are 952, 624, 60, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 952, 624, 60, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 624, 60, 874 is 2.
Therefore, GCD of numbers 952, 624, 60, 874 is 2
Given Input Data is 952, 624, 60, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 874 is 2 x 19 x 23
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(952, 624) = 74256
GCD(952, 624) = ( 952 x 624 ) / 74256
GCD(952, 624) = 594048 / 74256
GCD(952, 624) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 60) = 120
GCD(8, 60) = ( 8 x 60 ) / 120
GCD(8, 60) = 480 / 120
GCD(8, 60) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 874) = 1748
GCD(4, 874) = ( 4 x 874 ) / 1748
GCD(4, 874) = 3496 / 1748
GCD(4, 874) = 2
GCD of 952, 624, 60, 874 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 624, 60, 874?
GCD of 952, 624, 60, 874 is 2
2. Where do I get the detailed procedure to find GCD of 952, 624, 60, 874?
You can find a detailed procedure to find GCD of 952, 624, 60, 874 on our page.
3. How to find GCD of 952, 624, 60, 874 on a calculator?
You can find the GCD of 952, 624, 60, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.