GCD of 428, 152, 204, 840 Calculator

Given Input numbers are 428, 152, 204, 840

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (428, 152, 204, 840) = 4.

Given numbers are 428, 152, 204, 840

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 152 are 2 x 2 x 2 x 19

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

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 428, 152, 204, 840 is 4.

Given numbers are 428, 152, 204, 840

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

Apply this formula for all numbers.

Step1:

LCM(428, 152) = 16264

GCD(428, 152) = ( 428 x 152 ) / 16264

= 428 / 152

= 428

Step2:

LCM(4, 204) = 204

GCD(4, 204) = ( 4 x 204 ) / 204

= 4 / 204

= 4

Step3:

LCM(4, 840) = 840

GCD(4, 840) = ( 4 x 840 ) / 840

= 4 / 840

= 4

So, Greatest Common Divisor of 428, 152, 204, 840 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 192, 826, 284
• GCD of 917, 242, 145, 718
• GCD of 593, 381, 485, 685
• GCD of 383, 208, 837, 455
• GCD of 906, 392, 580, 486

Given numbers are 428, 152, 204, 840
The greatest common divisor of numbers 428, 152, 204, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 152, 204, 840 is 4.

1. What is the GCD of 428, 152, 204, 840?

GCD of given numbers 428, 152, 204, 840 is 4

2. How to calculate the greatest common divisor of 428, 152, 204, 840?

We can find the highest common divisor of 428, 152, 204, 840 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 428, 152, 204, 840 i.e 4.

3. How can I use the GCD of 428, 152, 204, 840Calculator?

Out the numbers 428, 152, 204, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.