Online GCD Calculator is useful to find the GCD of 746, 488, 688, 678 quickly. Get the easiest ways to solve the greatest common divisor of 746, 488, 688, 678 i.e 2 in different methods as follows.
Given Input numbers are 746, 488, 688, 678
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 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (746, 488, 688, 678) = 2.
Given numbers are 746, 488, 688, 678
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 746, 488, 688, 678 is 2.
Given numbers are 746, 488, 688, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 488) = 182024
GCD(746, 488) = ( 746 x 488 ) / 182024
= 746 / 488
= 746
Step2:
LCM(2, 688) = 688
GCD(2, 688) = ( 2 x 688 ) / 688
= 2 / 688
= 2
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 746, 488, 688, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 488, 688, 678
The greatest common divisor of numbers 746, 488, 688, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 488, 688, 678 is 2.
1. What is the GCD of 746, 488, 688, 678?
GCD of given numbers 746, 488, 688, 678 is 2
2. How to calculate the greatest common divisor of 746, 488, 688, 678?
We can find the highest common divisor of 746, 488, 688, 678 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, 488, 688, 678 i.e 2.
3. How can I use the GCD of 746, 488, 688, 678Calculator?
Out the numbers 746, 488, 688, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.