GCD of 420, 996, 630, 102 Calculator

Given Input numbers are 420, 996, 630, 102

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (420, 996, 630, 102) = 6.

Given numbers are 420, 996, 630, 102

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 996 are 2 x 2 x 3 x 83

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

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 420, 996, 630, 102 is 6.

Given numbers are 420, 996, 630, 102

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

Apply this formula for all numbers.

Step1:

LCM(420, 996) = 34860

GCD(420, 996) = ( 420 x 996 ) / 34860

= 420 / 996

= 420

Step2:

LCM(12, 630) = 1260

GCD(12, 630) = ( 12 x 630 ) / 1260

= 12 / 630

= 12

Step3:

LCM(6, 102) = 102

GCD(6, 102) = ( 6 x 102 ) / 102

= 6 / 102

= 6

So, Greatest Common Divisor of 420, 996, 630, 102 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 998, 724, 432
• GCD of 731, 202, 418, 664
• GCD of 484, 753, 596, 797
• GCD of 507, 479, 243, 541
• GCD of 706, 888, 662, 700

Given numbers are 420, 996, 630, 102
The greatest common divisor of numbers 420, 996, 630, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 996, 630, 102 is 6.

1. What is the GCD of 420, 996, 630, 102?

GCD of given numbers 420, 996, 630, 102 is 6

2. How to calculate the greatest common divisor of 420, 996, 630, 102?

We can find the highest common divisor of 420, 996, 630, 102 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 420, 996, 630, 102 i.e 6.

3. How can I use the GCD of 420, 996, 630, 102Calculator?

Out the numbers 420, 996, 630, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.