Online GCD Calculator is useful to find the GCD of 956, 524, 748, 828 quickly. Get the easiest ways to solve the greatest common divisor of 956, 524, 748, 828 i.e 4 in different methods as follows.
Given Input numbers are 956, 524, 748, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (956, 524, 748, 828) = 4.
Given numbers are 956, 524, 748, 828
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 524 are 2 x 2 x 131
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 22
Therefore, GCD of 956, 524, 748, 828 is 4.
Given numbers are 956, 524, 748, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 524) = 125236
GCD(956, 524) = ( 956 x 524 ) / 125236
= 956 / 524
= 956
Step2:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
Step3:
LCM(4, 828) = 828
GCD(4, 828) = ( 4 x 828 ) / 828
= 4 / 828
= 4
So, Greatest Common Divisor of 956, 524, 748, 828 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 956, 524, 748, 828
The greatest common divisor of numbers 956, 524, 748, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 524, 748, 828 is 4.
1. What is the GCD of 956, 524, 748, 828?
GCD of given numbers 956, 524, 748, 828 is 4
2. How to calculate the greatest common divisor of 956, 524, 748, 828?
We can find the highest common divisor of 956, 524, 748, 828 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 956, 524, 748, 828 i.e 4.
3. How can I use the GCD of 956, 524, 748, 828Calculator?
Out the numbers 956, 524, 748, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.