Online GCD Calculator is useful to find the GCD of 356, 672, 126, 168 quickly. Get the easiest ways to solve the greatest common divisor of 356, 672, 126, 168 i.e 2 in different methods as follows.
Given Input numbers are 356, 672, 126, 168
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
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
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (356, 672, 126, 168) = 2.
Given numbers are 356, 672, 126, 168
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 356, 672, 126, 168 is 2.
Given numbers are 356, 672, 126, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 672) = 59808
GCD(356, 672) = ( 356 x 672 ) / 59808
= 356 / 672
= 356
Step2:
LCM(4, 126) = 252
GCD(4, 126) = ( 4 x 126 ) / 252
= 4 / 126
= 4
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 356, 672, 126, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 672, 126, 168
The greatest common divisor of numbers 356, 672, 126, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 672, 126, 168 is 2.
1. What is the GCD of 356, 672, 126, 168?
GCD of given numbers 356, 672, 126, 168 is 2
2. How to calculate the greatest common divisor of 356, 672, 126, 168?
We can find the highest common divisor of 356, 672, 126, 168 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 356, 672, 126, 168 i.e 2.
3. How can I use the GCD of 356, 672, 126, 168Calculator?
Out the numbers 356, 672, 126, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.