GCD of 684, 974, 513, 384 Calculator

Given Input numbers are 684, 974, 513, 384

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (684, 974, 513, 384) = 1.

Given numbers are 684, 974, 513, 384

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 974 are 2 x 487

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 684, 974, 513, 384

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

Apply this formula for all numbers.

Step1:

LCM(684, 974) = 333108

GCD(684, 974) = ( 684 x 974 ) / 333108

= 684 / 974

= 684

Step2:

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

= 2 / 513

= 2

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 684, 974, 513, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 983, 287, 761
• GCD of 607, 138, 600, 234
• GCD of 192, 100, 557, 385
• GCD of 115, 206, 660, 211
• GCD of 427, 208, 717, 703

Given numbers are 684, 974, 513, 384
The greatest common divisor of numbers 684, 974, 513, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 974, 513, 384 is 1.

1. What is the GCD of 684, 974, 513, 384?

GCD of given numbers 684, 974, 513, 384 is 1

2. How to calculate the greatest common divisor of 684, 974, 513, 384?

We can find the highest common divisor of 684, 974, 513, 384 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 684, 974, 513, 384 i.e 1.

3. How can I use the GCD of 684, 974, 513, 384Calculator?

Out the numbers 684, 974, 513, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.