GCD of 630, 918, 138, 404 Calculator

Given Input numbers are 630, 918, 138, 404

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

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 404 :

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

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (630, 918, 138, 404) = 2.

Given numbers are 630, 918, 138, 404

The list of prime factors of all numbers are

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

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 138 are 2 x 3 x 23

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 630, 918, 138, 404 is 2.

Given numbers are 630, 918, 138, 404

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

Apply this formula for all numbers.

Step1:

LCM(630, 918) = 32130

GCD(630, 918) = ( 630 x 918 ) / 32130

= 630 / 918

= 630

Step2:

LCM(18, 138) = 414

GCD(18, 138) = ( 18 x 138 ) / 414

= 18 / 138

= 18

Step3:

LCM(6, 404) = 1212

GCD(6, 404) = ( 6 x 404 ) / 1212

= 6 / 404

= 6

So, Greatest Common Divisor of 630, 918, 138, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 508, 607, 308
• GCD of 724, 645, 708, 550
• GCD of 613, 144, 117, 874
• GCD of 801, 249, 613, 138
• GCD of 790, 748, 161, 891

Given numbers are 630, 918, 138, 404
The greatest common divisor of numbers 630, 918, 138, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 918, 138, 404 is 2.

1. What is the GCD of 630, 918, 138, 404?

GCD of given numbers 630, 918, 138, 404 is 2

2. How to calculate the greatest common divisor of 630, 918, 138, 404?

We can find the highest common divisor of 630, 918, 138, 404 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 630, 918, 138, 404 i.e 2.

3. How can I use the GCD of 630, 918, 138, 404Calculator?

Out the numbers 630, 918, 138, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.