Online GCD Calculator is useful to find the GCD of 376, 126, 780, 678 quickly. Get the easiest ways to solve the greatest common divisor of 376, 126, 780, 678 i.e 2 in different methods as follows.
Given Input numbers are 376, 126, 780, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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 (376, 126, 780, 678) = 2.
Given numbers are 376, 126, 780, 678
The list of prime factors of all numbers are
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 376, 126, 780, 678 is 2.
Given numbers are 376, 126, 780, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(376, 126) = 23688
GCD(376, 126) = ( 376 x 126 ) / 23688
= 376 / 126
= 376
Step2:
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
= 2 / 780
= 2
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 376, 126, 780, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 376, 126, 780, 678
The greatest common divisor of numbers 376, 126, 780, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 126, 780, 678 is 2.
1. What is the GCD of 376, 126, 780, 678?
GCD of given numbers 376, 126, 780, 678 is 2
2. How to calculate the greatest common divisor of 376, 126, 780, 678?
We can find the highest common divisor of 376, 126, 780, 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 376, 126, 780, 678 i.e 2.
3. How can I use the GCD of 376, 126, 780, 678Calculator?
Out the numbers 376, 126, 780, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.