Online GCD Calculator is useful to find the GCD of 314, 956, 680, 821 quickly. Get the easiest ways to solve the greatest common divisor of 314, 956, 680, 821 i.e 1 in different methods as follows.
Given Input numbers are 314, 956, 680, 821
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 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
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
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
GCD of numbers is the greatest common divisor
So, the GCD (314, 956, 680, 821) = 1.
Given numbers are 314, 956, 680, 821
The list of prime factors of all numbers are
Prime factors of 314 are 2 x 157
Prime factors of 956 are 2 x 2 x 239
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 821 are 821
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 314, 956, 680, 821
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(314, 956) = 150092
GCD(314, 956) = ( 314 x 956 ) / 150092
= 314 / 956
= 314
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
= 2 / 821
= 2
So, Greatest Common Divisor of 314, 956, 680, 821 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 314, 956, 680, 821
The greatest common divisor of numbers 314, 956, 680, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 956, 680, 821 is 1.
1. What is the GCD of 314, 956, 680, 821?
GCD of given numbers 314, 956, 680, 821 is 1
2. How to calculate the greatest common divisor of 314, 956, 680, 821?
We can find the highest common divisor of 314, 956, 680, 821 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, 956, 680, 821 i.e 1.
3. How can I use the GCD of 314, 956, 680, 821Calculator?
Out the numbers 314, 956, 680, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.