Online GCD Calculator is useful to find the GCD of 314, 820, 653, 636 quickly. Get the easiest ways to solve the greatest common divisor of 314, 820, 653, 636 i.e 1 in different methods as follows.
Given Input numbers are 314, 820, 653, 636
In the factoring method, we have to find the divisors of all numbers
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 653 :
The positive integer divisors of 653 that completely divides 653 are.
1, 653
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
GCD of numbers is the greatest common divisor
So, the GCD (314, 820, 653, 636) = 1.
Given numbers are 314, 820, 653, 636
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 653 are 653
Prime factors of 636 are 2 x 2 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 820, 653, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 820) = 128740
GCD(314, 820) = ( 314 x 820 ) / 128740
= 314 / 820
= 314
Step2:
LCM(2, 653) = 1306
GCD(2, 653) = ( 2 x 653 ) / 1306
= 2 / 653
= 2
Step3:
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
= 1 / 636
= 1
So, Greatest Common Divisor of 314, 820, 653, 636 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 820, 653, 636
The greatest common divisor of numbers 314, 820, 653, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 820, 653, 636 is 1.
1. What is the GCD of 314, 820, 653, 636?
GCD of given numbers 314, 820, 653, 636 is 1
2. How to calculate the greatest common divisor of 314, 820, 653, 636?
We can find the highest common divisor of 314, 820, 653, 636 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 314, 820, 653, 636 i.e 1.
3. How can I use the GCD of 314, 820, 653, 636Calculator?
Out the numbers 314, 820, 653, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.