Online GCD Calculator is useful to find the GCD of 944, 220, 748, 400 quickly. Get the easiest ways to solve the greatest common divisor of 944, 220, 748, 400 i.e 4 in different methods as follows.
Given Input numbers are 944, 220, 748, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (944, 220, 748, 400) = 4.
Given numbers are 944, 220, 748, 400
The list of prime factors of all numbers are
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 944, 220, 748, 400 is 4.
Given numbers are 944, 220, 748, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(944, 220) = 51920
GCD(944, 220) = ( 944 x 220 ) / 51920
= 944 / 220
= 944
Step2:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
Step3:
LCM(4, 400) = 400
GCD(4, 400) = ( 4 x 400 ) / 400
= 4 / 400
= 4
So, Greatest Common Divisor of 944, 220, 748, 400 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 944, 220, 748, 400
The greatest common divisor of numbers 944, 220, 748, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 220, 748, 400 is 4.
1. What is the GCD of 944, 220, 748, 400?
GCD of given numbers 944, 220, 748, 400 is 4
2. How to calculate the greatest common divisor of 944, 220, 748, 400?
We can find the highest common divisor of 944, 220, 748, 400 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 944, 220, 748, 400 i.e 4.
3. How can I use the GCD of 944, 220, 748, 400Calculator?
Out the numbers 944, 220, 748, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.