GCD of 102, 204, 764, 420 Calculator

Given Input numbers are 102, 204, 764, 420

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

Divisors of 102 :

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

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

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

GCD of numbers is the greatest common divisor

So, the GCD (102, 204, 764, 420) = 2.

Given numbers are 102, 204, 764, 420

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 764 are 2 x 2 x 191

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

The highest common occurrence is 2¹

Therefore, GCD of 102, 204, 764, 420 is 2.

Given numbers are 102, 204, 764, 420

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

Apply this formula for all numbers.

Step1:

LCM(102, 204) = 204

GCD(102, 204) = ( 102 x 204 ) / 204

= 102 / 204

= 102

Step2:

LCM(102, 764) = 38964

GCD(102, 764) = ( 102 x 764 ) / 38964

= 102 / 764

= 102

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 102, 204, 764, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 926, 535, 253
• GCD of 896, 939, 478, 783
• GCD of 603, 803, 826, 468
• GCD of 202, 515, 330, 180
• GCD of 725, 247, 622, 849

Given numbers are 102, 204, 764, 420
The greatest common divisor of numbers 102, 204, 764, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 204, 764, 420 is 2.

1. What is the GCD of 102, 204, 764, 420?

GCD of given numbers 102, 204, 764, 420 is 2

2. How to calculate the greatest common divisor of 102, 204, 764, 420?

We can find the highest common divisor of 102, 204, 764, 420 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 102, 204, 764, 420 i.e 2.

3. How can I use the GCD of 102, 204, 764, 420Calculator?

Out the numbers 102, 204, 764, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.