Online GCD Calculator is useful to find the GCD of 132, 988, 726, 315 quickly. Get the easiest ways to solve the greatest common divisor of 132, 988, 726, 315 i.e 1 in different methods as follows.
Given Input numbers are 132, 988, 726, 315
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (132, 988, 726, 315) = 1.
Given numbers are 132, 988, 726, 315
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 988, 726, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 988) = 32604
GCD(132, 988) = ( 132 x 988 ) / 32604
= 132 / 988
= 132
Step2:
LCM(4, 726) = 1452
GCD(4, 726) = ( 4 x 726 ) / 1452
= 4 / 726
= 4
Step3:
LCM(2, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
= 2 / 315
= 2
So, Greatest Common Divisor of 132, 988, 726, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 988, 726, 315
The greatest common divisor of numbers 132, 988, 726, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 988, 726, 315 is 1.
1. What is the GCD of 132, 988, 726, 315?
GCD of given numbers 132, 988, 726, 315 is 1
2. How to calculate the greatest common divisor of 132, 988, 726, 315?
We can find the highest common divisor of 132, 988, 726, 315 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 132, 988, 726, 315 i.e 1.
3. How can I use the GCD of 132, 988, 726, 315Calculator?
Out the numbers 132, 988, 726, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.