Online GCD Calculator is useful to find the GCD of 756, 426, 180, 477 quickly. Get the easiest ways to solve the greatest common divisor of 756, 426, 180, 477 i.e 3 in different methods as follows.
Given Input numbers are 756, 426, 180, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (756, 426, 180, 477) = 3.
Given numbers are 756, 426, 180, 477
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 426 are 2 x 3 x 71
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 477 are 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 756, 426, 180, 477 is 3.
Given numbers are 756, 426, 180, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 426) = 53676
GCD(756, 426) = ( 756 x 426 ) / 53676
= 756 / 426
= 756
Step2:
LCM(6, 180) = 180
GCD(6, 180) = ( 6 x 180 ) / 180
= 6 / 180
= 6
Step3:
LCM(6, 477) = 954
GCD(6, 477) = ( 6 x 477 ) / 954
= 6 / 477
= 6
So, Greatest Common Divisor of 756, 426, 180, 477 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 426, 180, 477
The greatest common divisor of numbers 756, 426, 180, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 426, 180, 477 is 3.
1. What is the GCD of 756, 426, 180, 477?
GCD of given numbers 756, 426, 180, 477 is 3
2. How to calculate the greatest common divisor of 756, 426, 180, 477?
We can find the highest common divisor of 756, 426, 180, 477 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 756, 426, 180, 477 i.e 3.
3. How can I use the GCD of 756, 426, 180, 477Calculator?
Out the numbers 756, 426, 180, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.