Online GCD Calculator is useful to find the GCD of 137, 671, 412, 100 quickly. Get the easiest ways to solve the greatest common divisor of 137, 671, 412, 100 i.e 1 in different methods as follows.
Given Input numbers are 137, 671, 412, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 671 :
The positive integer divisors of 671 that completely divides 671 are.
1, 11, 61, 671
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (137, 671, 412, 100) = 1.
Given numbers are 137, 671, 412, 100
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 671 are 11 x 61
Prime factors of 412 are 2 x 2 x 103
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 671, 412, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 671) = 91927
GCD(137, 671) = ( 137 x 671 ) / 91927
= 137 / 671
= 137
Step2:
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
= 1 / 412
= 1
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 137, 671, 412, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 671, 412, 100
The greatest common divisor of numbers 137, 671, 412, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 671, 412, 100 is 1.
1. What is the GCD of 137, 671, 412, 100?
GCD of given numbers 137, 671, 412, 100 is 1
2. How to calculate the greatest common divisor of 137, 671, 412, 100?
We can find the highest common divisor of 137, 671, 412, 100 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 137, 671, 412, 100 i.e 1.
3. How can I use the GCD of 137, 671, 412, 100Calculator?
Out the numbers 137, 671, 412, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.