Online GCD Calculator is useful to find the GCD of 274, 646, 368, 746 quickly. Get the easiest ways to solve the greatest common divisor of 274, 646, 368, 746 i.e 2 in different methods as follows.
Given Input numbers are 274, 646, 368, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
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
GCD of numbers is the greatest common divisor
So, the GCD (274, 646, 368, 746) = 2.
Given numbers are 274, 646, 368, 746
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 646 are 2 x 17 x 19
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 274, 646, 368, 746 is 2.
Given numbers are 274, 646, 368, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 646) = 88502
GCD(274, 646) = ( 274 x 646 ) / 88502
= 274 / 646
= 274
Step2:
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
= 2 / 368
= 2
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 274, 646, 368, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 646, 368, 746
The greatest common divisor of numbers 274, 646, 368, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 646, 368, 746 is 2.
1. What is the GCD of 274, 646, 368, 746?
GCD of given numbers 274, 646, 368, 746 is 2
2. How to calculate the greatest common divisor of 274, 646, 368, 746?
We can find the highest common divisor of 274, 646, 368, 746 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 274, 646, 368, 746 i.e 2.
3. How can I use the GCD of 274, 646, 368, 746Calculator?
Out the numbers 274, 646, 368, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.