Online GCD Calculator is useful to find the GCD of 944, 654, 58, 972 quickly. Get the easiest ways to solve the greatest common divisor of 944, 654, 58, 972 i.e 2 in different methods as follows.
Given Input numbers are 944, 654, 58, 972
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 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 58 :
The positive integer divisors of 58 that completely divides 58 are.
1, 2, 29, 58
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
GCD of numbers is the greatest common divisor
So, the GCD (944, 654, 58, 972) = 2.
Given numbers are 944, 654, 58, 972
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 654 are 2 x 3 x 109
Prime factors of 58 are 2 x 29
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 944, 654, 58, 972 is 2.
Given numbers are 944, 654, 58, 972
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(944, 654) = 308688
GCD(944, 654) = ( 944 x 654 ) / 308688
= 944 / 654
= 944
Step2:
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
= 2 / 58
= 2
Step3:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
So, Greatest Common Divisor of 944, 654, 58, 972 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 944, 654, 58, 972
The greatest common divisor of numbers 944, 654, 58, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 654, 58, 972 is 2.
1. What is the GCD of 944, 654, 58, 972?
GCD of given numbers 944, 654, 58, 972 is 2
2. How to calculate the greatest common divisor of 944, 654, 58, 972?
We can find the highest common divisor of 944, 654, 58, 972 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, 654, 58, 972 i.e 2.
3. How can I use the GCD of 944, 654, 58, 972Calculator?
Out the numbers 944, 654, 58, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.