GCD of 684, 518, 871, 240 Calculator

Given Input numbers are 684, 518, 871, 240

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 518 :

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

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (684, 518, 871, 240) = 1.

Given numbers are 684, 518, 871, 240

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 518 are 2 x 7 x 37

Prime factors of 871 are 13 x 67

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 684, 518, 871, 240

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

Apply this formula for all numbers.

Step1:

LCM(684, 518) = 177156

GCD(684, 518) = ( 684 x 518 ) / 177156

= 684 / 518

= 684

Step2:

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

= 2 / 871

= 2

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 684, 518, 871, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 977, 493, 890
• GCD of 142, 740, 501, 937
• GCD of 196, 476, 707, 510
• GCD of 336, 725, 474, 637
• GCD of 663, 954, 793, 109

Given numbers are 684, 518, 871, 240
The greatest common divisor of numbers 684, 518, 871, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 518, 871, 240 is 1.

1. What is the GCD of 684, 518, 871, 240?

GCD of given numbers 684, 518, 871, 240 is 1

2. How to calculate the greatest common divisor of 684, 518, 871, 240?

We can find the highest common divisor of 684, 518, 871, 240 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, 518, 871, 240 i.e 1.

3. How can I use the GCD of 684, 518, 871, 240Calculator?

Out the numbers 684, 518, 871, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.