Online GCD Calculator is useful to find the GCD of 218, 812, 970, 137 quickly. Get the easiest ways to solve the greatest common divisor of 218, 812, 970, 137 i.e 1 in different methods as follows.
Given Input numbers are 218, 812, 970, 137
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
GCD of numbers is the greatest common divisor
So, the GCD (218, 812, 970, 137) = 1.
Given numbers are 218, 812, 970, 137
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 970 are 2 x 5 x 97
Prime factors of 137 are 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 218, 812, 970, 137
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 812) = 88508
GCD(218, 812) = ( 218 x 812 ) / 88508
= 218 / 812
= 218
Step2:
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
= 2 / 970
= 2
Step3:
LCM(2, 137) = 274
GCD(2, 137) = ( 2 x 137 ) / 274
= 2 / 137
= 2
So, Greatest Common Divisor of 218, 812, 970, 137 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 812, 970, 137
The greatest common divisor of numbers 218, 812, 970, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 812, 970, 137 is 1.
1. What is the GCD of 218, 812, 970, 137?
GCD of given numbers 218, 812, 970, 137 is 1
2. How to calculate the greatest common divisor of 218, 812, 970, 137?
We can find the highest common divisor of 218, 812, 970, 137 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 218, 812, 970, 137 i.e 1.
3. How can I use the GCD of 218, 812, 970, 137Calculator?
Out the numbers 218, 812, 970, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.