Online GCD Calculator is useful to find the GCD of 756, 432, 316, 271 quickly. Get the easiest ways to solve the greatest common divisor of 756, 432, 316, 271 i.e 1 in different methods as follows.
Given Input numbers are 756, 432, 316, 271
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
GCD of numbers is the greatest common divisor
So, the GCD (756, 432, 316, 271) = 1.
Given numbers are 756, 432, 316, 271
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 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 316 are 2 x 2 x 79
Prime factors of 271 are 271
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 432, 316, 271
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 432) = 3024
GCD(756, 432) = ( 756 x 432 ) / 3024
= 756 / 432
= 756
Step2:
LCM(108, 316) = 8532
GCD(108, 316) = ( 108 x 316 ) / 8532
= 108 / 316
= 108
Step3:
LCM(4, 271) = 1084
GCD(4, 271) = ( 4 x 271 ) / 1084
= 4 / 271
= 4
So, Greatest Common Divisor of 756, 432, 316, 271 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 432, 316, 271
The greatest common divisor of numbers 756, 432, 316, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 432, 316, 271 is 1.
1. What is the GCD of 756, 432, 316, 271?
GCD of given numbers 756, 432, 316, 271 is 1
2. How to calculate the greatest common divisor of 756, 432, 316, 271?
We can find the highest common divisor of 756, 432, 316, 271 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, 432, 316, 271 i.e 1.
3. How can I use the GCD of 756, 432, 316, 271Calculator?
Out the numbers 756, 432, 316, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.