GCD of 684, 446, 956, 870 Calculator

Given Input numbers are 684, 446, 956, 870

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 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (684, 446, 956, 870) = 2.

Given numbers are 684, 446, 956, 870

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 446 are 2 x 223

Prime factors of 956 are 2 x 2 x 239

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 684, 446, 956, 870 is 2.

Given numbers are 684, 446, 956, 870

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

Apply this formula for all numbers.

Step1:

LCM(684, 446) = 152532

GCD(684, 446) = ( 684 x 446 ) / 152532

= 684 / 446

= 684

Step2:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 684, 446, 956, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 524, 300, 202
• GCD of 645, 238, 830, 566
• GCD of 663, 171, 843, 153
• GCD of 643, 963, 851, 215
• GCD of 748, 626, 235, 934

Given numbers are 684, 446, 956, 870
The greatest common divisor of numbers 684, 446, 956, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 446, 956, 870 is 2.

1. What is the GCD of 684, 446, 956, 870?

GCD of given numbers 684, 446, 956, 870 is 2

2. How to calculate the greatest common divisor of 684, 446, 956, 870?

We can find the highest common divisor of 684, 446, 956, 870 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, 446, 956, 870 i.e 2.

3. How can I use the GCD of 684, 446, 956, 870Calculator?

Out the numbers 684, 446, 956, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.