GCD of 112, 404, 684, 630 Calculator

Given Input numbers are 112, 404, 684, 630

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

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 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

GCD of numbers is the greatest common divisor

So, the GCD (112, 404, 684, 630) = 2.

Given numbers are 112, 404, 684, 630

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 404 are 2 x 2 x 101

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

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 112, 404, 684, 630 is 2.

Given numbers are 112, 404, 684, 630

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

Apply this formula for all numbers.

Step1:

LCM(112, 404) = 11312

GCD(112, 404) = ( 112 x 404 ) / 11312

= 112 / 404

= 112

Step2:

LCM(4, 684) = 684

GCD(4, 684) = ( 4 x 684 ) / 684

= 4 / 684

= 4

Step3:

LCM(4, 630) = 1260

GCD(4, 630) = ( 4 x 630 ) / 1260

= 4 / 630

= 4

So, Greatest Common Divisor of 112, 404, 684, 630 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 634, 633, 622
• GCD of 795, 835, 221, 712
• GCD of 339, 915, 576, 833
• GCD of 503, 594, 781, 996
• GCD of 782, 624, 159, 553

Given numbers are 112, 404, 684, 630
The greatest common divisor of numbers 112, 404, 684, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 404, 684, 630 is 2.

1. What is the GCD of 112, 404, 684, 630?

GCD of given numbers 112, 404, 684, 630 is 2

2. How to calculate the greatest common divisor of 112, 404, 684, 630?

We can find the highest common divisor of 112, 404, 684, 630 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 112, 404, 684, 630 i.e 2.

3. How can I use the GCD of 112, 404, 684, 630Calculator?

Out the numbers 112, 404, 684, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.