GCD of 518, 874, 974, 964 Calculator

Given Input numbers are 518, 874, 974, 964

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (518, 874, 974, 964) = 2.

Given numbers are 518, 874, 974, 964

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 874 are 2 x 19 x 23

Prime factors of 974 are 2 x 487

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 518, 874, 974, 964 is 2.

Given numbers are 518, 874, 974, 964

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

Apply this formula for all numbers.

Step1:

LCM(518, 874) = 226366

GCD(518, 874) = ( 518 x 874 ) / 226366

= 518 / 874

= 518

Step2:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 518, 874, 974, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 500, 291, 102
• GCD of 279, 287, 153, 679
• GCD of 471, 876, 437, 695
• GCD of 829, 905, 229, 554
• GCD of 138, 950, 327, 740

Given numbers are 518, 874, 974, 964
The greatest common divisor of numbers 518, 874, 974, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 874, 974, 964 is 2.

1. What is the GCD of 518, 874, 974, 964?

GCD of given numbers 518, 874, 974, 964 is 2

2. How to calculate the greatest common divisor of 518, 874, 974, 964?

We can find the highest common divisor of 518, 874, 974, 964 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, 874, 974, 964 i.e 2.

3. How can I use the GCD of 518, 874, 974, 964Calculator?

Out the numbers 518, 874, 974, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.