Online GCD Calculator is useful to find the GCD of 120, 342, 748, 656 quickly. Get the easiest ways to solve the greatest common divisor of 120, 342, 748, 656 i.e 2 in different methods as follows.
Given Input numbers are 120, 342, 748, 656
In the factoring method, we have to find the divisors of all numbers
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
GCD of numbers is the greatest common divisor
So, the GCD (120, 342, 748, 656) = 2.
Given numbers are 120, 342, 748, 656
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 120, 342, 748, 656 is 2.
Given numbers are 120, 342, 748, 656
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 342) = 6840
GCD(120, 342) = ( 120 x 342 ) / 6840
= 120 / 342
= 120
Step2:
LCM(6, 748) = 2244
GCD(6, 748) = ( 6 x 748 ) / 2244
= 6 / 748
= 6
Step3:
LCM(2, 656) = 656
GCD(2, 656) = ( 2 x 656 ) / 656
= 2 / 656
= 2
So, Greatest Common Divisor of 120, 342, 748, 656 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 342, 748, 656
The greatest common divisor of numbers 120, 342, 748, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 342, 748, 656 is 2.
1. What is the GCD of 120, 342, 748, 656?
GCD of given numbers 120, 342, 748, 656 is 2
2. How to calculate the greatest common divisor of 120, 342, 748, 656?
We can find the highest common divisor of 120, 342, 748, 656 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 120, 342, 748, 656 i.e 2.
3. How can I use the GCD of 120, 342, 748, 656Calculator?
Out the numbers 120, 342, 748, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.