Online GCD Calculator is useful to find the GCD of 130, 688, 431, 132 quickly. Get the easiest ways to solve the greatest common divisor of 130, 688, 431, 132 i.e 1 in different methods as follows.
Given Input numbers are 130, 688, 431, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (130, 688, 431, 132) = 1.
Given numbers are 130, 688, 431, 132
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 431 are 431
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 130, 688, 431, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 688) = 44720
GCD(130, 688) = ( 130 x 688 ) / 44720
= 130 / 688
= 130
Step2:
LCM(2, 431) = 862
GCD(2, 431) = ( 2 x 431 ) / 862
= 2 / 431
= 2
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 130, 688, 431, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 130, 688, 431, 132
The greatest common divisor of numbers 130, 688, 431, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 688, 431, 132 is 1.
1. What is the GCD of 130, 688, 431, 132?
GCD of given numbers 130, 688, 431, 132 is 1
2. How to calculate the greatest common divisor of 130, 688, 431, 132?
We can find the highest common divisor of 130, 688, 431, 132 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 130, 688, 431, 132 i.e 1.
3. How can I use the GCD of 130, 688, 431, 132Calculator?
Out the numbers 130, 688, 431, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.