Online GCD Calculator is useful to find the GCD of 315, 154, 108, 680 quickly. Get the easiest ways to solve the greatest common divisor of 315, 154, 108, 680 i.e 1 in different methods as follows.
Given Input numbers are 315, 154, 108, 680
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (315, 154, 108, 680) = 1.
Given numbers are 315, 154, 108, 680
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 154 are 2 x 7 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 154, 108, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 154) = 6930
GCD(315, 154) = ( 315 x 154 ) / 6930
= 315 / 154
= 315
Step2:
LCM(7, 108) = 756
GCD(7, 108) = ( 7 x 108 ) / 756
= 7 / 108
= 7
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 315, 154, 108, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 154, 108, 680
The greatest common divisor of numbers 315, 154, 108, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 154, 108, 680 is 1.
1. What is the GCD of 315, 154, 108, 680?
GCD of given numbers 315, 154, 108, 680 is 1
2. How to calculate the greatest common divisor of 315, 154, 108, 680?
We can find the highest common divisor of 315, 154, 108, 680 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 315, 154, 108, 680 i.e 1.
3. How can I use the GCD of 315, 154, 108, 680Calculator?
Out the numbers 315, 154, 108, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.