GCD of 314, 980, 518 Calculator

Given Input numbers are 314, 980, 518

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

GCD of numbers is the greatest common divisor

So, the GCD (314, 980, 518) = 2.

Given numbers are 314, 980, 518

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 518 are 2 x 7 x 37

The highest common occurrence is 2¹

Therefore, GCD of 314, 980, 518 is 2.

Given numbers are 314, 980, 518

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(314, 980) = 153860

GCD(314, 980) = ( 314 x 980 ) / 153860

= 314 / 980

= 314

Step2:

LCM(2, 518) = 518

GCD(2, 518) = ( 2 x 518 ) / 518

= 2 / 518

= 2

So, Greatest Common Divisor of 314, 980, 518 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 351, 837
• GCD of 607, 683, 976
• GCD of 394, 139, 276
• GCD of 399, 510, 357
• GCD of 516, 613, 942

Given numbers are 314, 980, 518
The greatest common divisor of numbers 314, 980, 518 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 980, 518 is 2.

1. What is the GCD of 314, 980, 518?

GCD of given numbers 314, 980, 518 is 2

2. How to calculate the greatest common divisor of 314, 980, 518?

We can find the highest common divisor of 314, 980, 518 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, 980, 518 i.e 2.

3. How can I use the GCD of 314, 980, 518Calculator?

Out the numbers 314, 980, 518 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.