Online GCD Calculator is useful to find the GCD of 109, 355, 225, 637 quickly. Get the easiest ways to solve the greatest common divisor of 109, 355, 225, 637 i.e 1 in different methods as follows.
Given Input numbers are 109, 355, 225, 637
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
GCD of numbers is the greatest common divisor
So, the GCD (109, 355, 225, 637) = 1.
Given numbers are 109, 355, 225, 637
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 355 are 5 x 71
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 637 are 7 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 355, 225, 637
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 355) = 38695
GCD(109, 355) = ( 109 x 355 ) / 38695
= 109 / 355
= 109
Step2:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
Step3:
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
= 1 / 637
= 1
So, Greatest Common Divisor of 109, 355, 225, 637 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 355, 225, 637
The greatest common divisor of numbers 109, 355, 225, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 355, 225, 637 is 1.
1. What is the GCD of 109, 355, 225, 637?
GCD of given numbers 109, 355, 225, 637 is 1
2. How to calculate the greatest common divisor of 109, 355, 225, 637?
We can find the highest common divisor of 109, 355, 225, 637 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 109, 355, 225, 637 i.e 1.
3. How can I use the GCD of 109, 355, 225, 637Calculator?
Out the numbers 109, 355, 225, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.