GCD of 518, 462, 398, 970 Calculator

Given Input numbers are 518, 462, 398, 970

In the factoring method, we have to find the divisors of all numbers

Divisors of 518 :

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

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (518, 462, 398, 970) = 2.

Given numbers are 518, 462, 398, 970

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 398 are 2 x 199

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 2¹

Therefore, GCD of 518, 462, 398, 970 is 2.

Given numbers are 518, 462, 398, 970

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

Apply this formula for all numbers.

Step1:

LCM(518, 462) = 17094

GCD(518, 462) = ( 518 x 462 ) / 17094

= 518 / 462

= 518

Step2:

LCM(14, 398) = 2786

GCD(14, 398) = ( 14 x 398 ) / 2786

= 14 / 398

= 14

Step3:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2

So, Greatest Common Divisor of 518, 462, 398, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 762, 116, 766
• GCD of 253, 543, 723, 864
• GCD of 191, 708, 722, 981
• GCD of 978, 135, 915, 662
• GCD of 410, 952, 921, 466

Given numbers are 518, 462, 398, 970
The greatest common divisor of numbers 518, 462, 398, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 462, 398, 970 is 2.

1. What is the GCD of 518, 462, 398, 970?

GCD of given numbers 518, 462, 398, 970 is 2

2. How to calculate the greatest common divisor of 518, 462, 398, 970?

We can find the highest common divisor of 518, 462, 398, 970 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 518, 462, 398, 970 i.e 2.

3. How can I use the GCD of 518, 462, 398, 970Calculator?

Out the numbers 518, 462, 398, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.