Online GCD Calculator is useful to find the GCD of 131, 696, 274, 872 quickly. Get the easiest ways to solve the greatest common divisor of 131, 696, 274, 872 i.e 1 in different methods as follows.
Given Input numbers are 131, 696, 274, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (131, 696, 274, 872) = 1.
Given numbers are 131, 696, 274, 872
The list of prime factors of all numbers are
Prime factors of 131 are 131
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 274 are 2 x 137
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 131, 696, 274, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(131, 696) = 91176
GCD(131, 696) = ( 131 x 696 ) / 91176
= 131 / 696
= 131
Step2:
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
= 1 / 274
= 1
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 131, 696, 274, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 131, 696, 274, 872
The greatest common divisor of numbers 131, 696, 274, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 696, 274, 872 is 1.
1. What is the GCD of 131, 696, 274, 872?
GCD of given numbers 131, 696, 274, 872 is 1
2. How to calculate the greatest common divisor of 131, 696, 274, 872?
We can find the highest common divisor of 131, 696, 274, 872 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 131, 696, 274, 872 i.e 1.
3. How can I use the GCD of 131, 696, 274, 872Calculator?
Out the numbers 131, 696, 274, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.