Online GCD Calculator is useful to find the GCD of 746, 370, 876, 268 quickly. Get the easiest ways to solve the greatest common divisor of 746, 370, 876, 268 i.e 2 in different methods as follows.
Given Input numbers are 746, 370, 876, 268
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (746, 370, 876, 268) = 2.
Given numbers are 746, 370, 876, 268
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 370 are 2 x 5 x 37
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 746, 370, 876, 268 is 2.
Given numbers are 746, 370, 876, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 370) = 138010
GCD(746, 370) = ( 746 x 370 ) / 138010
= 746 / 370
= 746
Step2:
LCM(2, 876) = 876
GCD(2, 876) = ( 2 x 876 ) / 876
= 2 / 876
= 2
Step3:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
So, Greatest Common Divisor of 746, 370, 876, 268 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 370, 876, 268
The greatest common divisor of numbers 746, 370, 876, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 370, 876, 268 is 2.
1. What is the GCD of 746, 370, 876, 268?
GCD of given numbers 746, 370, 876, 268 is 2
2. How to calculate the greatest common divisor of 746, 370, 876, 268?
We can find the highest common divisor of 746, 370, 876, 268 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 746, 370, 876, 268 i.e 2.
3. How can I use the GCD of 746, 370, 876, 268Calculator?
Out the numbers 746, 370, 876, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.