Online GCD Calculator is useful to find the GCD of 296, 128, 422, 672 quickly. Get the easiest ways to solve the greatest common divisor of 296, 128, 422, 672 i.e 2 in different methods as follows.
Given Input numbers are 296, 128, 422, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (296, 128, 422, 672) = 2.
Given numbers are 296, 128, 422, 672
The list of prime factors of all numbers are
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 422 are 2 x 211
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 296, 128, 422, 672 is 2.
Given numbers are 296, 128, 422, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(296, 128) = 4736
GCD(296, 128) = ( 296 x 128 ) / 4736
= 296 / 128
= 296
Step2:
LCM(8, 422) = 1688
GCD(8, 422) = ( 8 x 422 ) / 1688
= 8 / 422
= 8
Step3:
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
= 2 / 672
= 2
So, Greatest Common Divisor of 296, 128, 422, 672 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 296, 128, 422, 672
The greatest common divisor of numbers 296, 128, 422, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 128, 422, 672 is 2.
1. What is the GCD of 296, 128, 422, 672?
GCD of given numbers 296, 128, 422, 672 is 2
2. How to calculate the greatest common divisor of 296, 128, 422, 672?
We can find the highest common divisor of 296, 128, 422, 672 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 296, 128, 422, 672 i.e 2.
3. How can I use the GCD of 296, 128, 422, 672Calculator?
Out the numbers 296, 128, 422, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.