Online GCD Calculator is useful to find the GCD of 354, 944, 120, 564 quickly. Get the easiest ways to solve the greatest common divisor of 354, 944, 120, 564 i.e 2 in different methods as follows.
Given Input numbers are 354, 944, 120, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (354, 944, 120, 564) = 2.
Given numbers are 354, 944, 120, 564
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 354, 944, 120, 564 is 2.
Given numbers are 354, 944, 120, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 944) = 2832
GCD(354, 944) = ( 354 x 944 ) / 2832
= 354 / 944
= 354
Step2:
LCM(118, 120) = 7080
GCD(118, 120) = ( 118 x 120 ) / 7080
= 118 / 120
= 118
Step3:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
So, Greatest Common Divisor of 354, 944, 120, 564 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 944, 120, 564
The greatest common divisor of numbers 354, 944, 120, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 944, 120, 564 is 2.
1. What is the GCD of 354, 944, 120, 564?
GCD of given numbers 354, 944, 120, 564 is 2
2. How to calculate the greatest common divisor of 354, 944, 120, 564?
We can find the highest common divisor of 354, 944, 120, 564 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 354, 944, 120, 564 i.e 2.
3. How can I use the GCD of 354, 944, 120, 564Calculator?
Out the numbers 354, 944, 120, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.