Online GCD Calculator is useful to find the GCD of 677, 714, 120, 312 quickly. Get the easiest ways to solve the greatest common divisor of 677, 714, 120, 312 i.e 1 in different methods as follows.
Given Input numbers are 677, 714, 120, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 (677, 714, 120, 312) = 1.
Given numbers are 677, 714, 120, 312
The list of prime factors of all numbers are
Prime factors of 677 are 677
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
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 677, 714, 120, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(677, 714) = 483378
GCD(677, 714) = ( 677 x 714 ) / 483378
= 677 / 714
= 677
Step2:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 677, 714, 120, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 677, 714, 120, 312
The greatest common divisor of numbers 677, 714, 120, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 677, 714, 120, 312 is 1.
1. What is the GCD of 677, 714, 120, 312?
GCD of given numbers 677, 714, 120, 312 is 1
2. How to calculate the greatest common divisor of 677, 714, 120, 312?
We can find the highest common divisor of 677, 714, 120, 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 677, 714, 120, 312 i.e 1.
3. How can I use the GCD of 677, 714, 120, 312Calculator?
Out the numbers 677, 714, 120, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.