Online GCD Calculator is useful to find the GCD of 630, 109, 340, 312 quickly. Get the easiest ways to solve the greatest common divisor of 630, 109, 340, 312 i.e 1 in different methods as follows.
Given Input numbers are 630, 109, 340, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (630, 109, 340, 312) = 1.
Given numbers are 630, 109, 340, 312
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 109 are 109
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 630, 109, 340, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 109) = 68670
GCD(630, 109) = ( 630 x 109 ) / 68670
= 630 / 109
= 630
Step2:
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
= 1 / 340
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 630, 109, 340, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 109, 340, 312
The greatest common divisor of numbers 630, 109, 340, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 109, 340, 312 is 1.
1. What is the GCD of 630, 109, 340, 312?
GCD of given numbers 630, 109, 340, 312 is 1
2. How to calculate the greatest common divisor of 630, 109, 340, 312?
We can find the highest common divisor of 630, 109, 340, 312 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 630, 109, 340, 312 i.e 1.
3. How can I use the GCD of 630, 109, 340, 312Calculator?
Out the numbers 630, 109, 340, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.