Online GCD Calculator is useful to find the GCD of 756, 734, 475, 131 quickly. Get the easiest ways to solve the greatest common divisor of 756, 734, 475, 131 i.e 1 in different methods as follows.
Given Input numbers are 756, 734, 475, 131
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 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
GCD of numbers is the greatest common divisor
So, the GCD (756, 734, 475, 131) = 1.
Given numbers are 756, 734, 475, 131
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 734 are 2 x 367
Prime factors of 475 are 5 x 5 x 19
Prime factors of 131 are 131
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 734, 475, 131
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 734) = 277452
GCD(756, 734) = ( 756 x 734 ) / 277452
= 756 / 734
= 756
Step2:
LCM(2, 475) = 950
GCD(2, 475) = ( 2 x 475 ) / 950
= 2 / 475
= 2
Step3:
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
= 1 / 131
= 1
So, Greatest Common Divisor of 756, 734, 475, 131 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 734, 475, 131
The greatest common divisor of numbers 756, 734, 475, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 734, 475, 131 is 1.
1. What is the GCD of 756, 734, 475, 131?
GCD of given numbers 756, 734, 475, 131 is 1
2. How to calculate the greatest common divisor of 756, 734, 475, 131?
We can find the highest common divisor of 756, 734, 475, 131 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, 734, 475, 131 i.e 1.
3. How can I use the GCD of 756, 734, 475, 131Calculator?
Out the numbers 756, 734, 475, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.