Online GCD Calculator is useful to find the GCD of 674, 300, 620, 315 quickly. Get the easiest ways to solve the greatest common divisor of 674, 300, 620, 315 i.e 1 in different methods as follows.
Given Input numbers are 674, 300, 620, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
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
GCD of numbers is the greatest common divisor
So, the GCD (674, 300, 620, 315) = 1.
Given numbers are 674, 300, 620, 315
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 674, 300, 620, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 300) = 101100
GCD(674, 300) = ( 674 x 300 ) / 101100
= 674 / 300
= 674
Step2:
LCM(2, 620) = 620
GCD(2, 620) = ( 2 x 620 ) / 620
= 2 / 620
= 2
Step3:
LCM(2, 315) = 630
GCD(2, 315) = ( 2 x 315 ) / 630
= 2 / 315
= 2
So, Greatest Common Divisor of 674, 300, 620, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 300, 620, 315
The greatest common divisor of numbers 674, 300, 620, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 300, 620, 315 is 1.
1. What is the GCD of 674, 300, 620, 315?
GCD of given numbers 674, 300, 620, 315 is 1
2. How to calculate the greatest common divisor of 674, 300, 620, 315?
We can find the highest common divisor of 674, 300, 620, 315 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 674, 300, 620, 315 i.e 1.
3. How can I use the GCD of 674, 300, 620, 315Calculator?
Out the numbers 674, 300, 620, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.