Online GCD Calculator is useful to find the GCD of 456, 368, 746, 626 quickly. Get the easiest ways to solve the greatest common divisor of 456, 368, 746, 626 i.e 2 in different methods as follows.
Given Input numbers are 456, 368, 746, 626
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
GCD of numbers is the greatest common divisor
So, the GCD (456, 368, 746, 626) = 2.
Given numbers are 456, 368, 746, 626
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 746 are 2 x 373
Prime factors of 626 are 2 x 313
The highest common occurrence is 21
Therefore, GCD of 456, 368, 746, 626 is 2.
Given numbers are 456, 368, 746, 626
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 368) = 20976
GCD(456, 368) = ( 456 x 368 ) / 20976
= 456 / 368
= 456
Step2:
LCM(8, 746) = 2984
GCD(8, 746) = ( 8 x 746 ) / 2984
= 8 / 746
= 8
Step3:
LCM(2, 626) = 626
GCD(2, 626) = ( 2 x 626 ) / 626
= 2 / 626
= 2
So, Greatest Common Divisor of 456, 368, 746, 626 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 368, 746, 626
The greatest common divisor of numbers 456, 368, 746, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 368, 746, 626 is 2.
1. What is the GCD of 456, 368, 746, 626?
GCD of given numbers 456, 368, 746, 626 is 2
2. How to calculate the greatest common divisor of 456, 368, 746, 626?
We can find the highest common divisor of 456, 368, 746, 626 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 456, 368, 746, 626 i.e 2.
3. How can I use the GCD of 456, 368, 746, 626Calculator?
Out the numbers 456, 368, 746, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.