GCD of 684, 374, 310, 580 Calculator

Given Input numbers are 684, 374, 310, 580

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (684, 374, 310, 580) = 2.

Given numbers are 684, 374, 310, 580

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 374 are 2 x 11 x 17

Prime factors of 310 are 2 x 5 x 31

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 684, 374, 310, 580 is 2.

Given numbers are 684, 374, 310, 580

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

Apply this formula for all numbers.

Step1:

LCM(684, 374) = 127908

GCD(684, 374) = ( 684 x 374 ) / 127908

= 684 / 374

= 684

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 684, 374, 310, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 575, 201, 797
• GCD of 322, 696, 141, 104
• GCD of 798, 793, 329, 398
• GCD of 421, 783, 152, 241
• GCD of 194, 929, 338, 224

Given numbers are 684, 374, 310, 580
The greatest common divisor of numbers 684, 374, 310, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 374, 310, 580 is 2.

1. What is the GCD of 684, 374, 310, 580?

GCD of given numbers 684, 374, 310, 580 is 2

2. How to calculate the greatest common divisor of 684, 374, 310, 580?

We can find the highest common divisor of 684, 374, 310, 580 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, 374, 310, 580 i.e 2.

3. How can I use the GCD of 684, 374, 310, 580Calculator?

Out the numbers 684, 374, 310, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.