GCD of 116, 284, 242, 428 Calculator

Given Input numbers are 116, 284, 242, 428

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (116, 284, 242, 428) = 2.

Given numbers are 116, 284, 242, 428

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 284 are 2 x 2 x 71

Prime factors of 242 are 2 x 11 x 11

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 116, 284, 242, 428 is 2.

Given numbers are 116, 284, 242, 428

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

Apply this formula for all numbers.

Step1:

LCM(116, 284) = 8236

GCD(116, 284) = ( 116 x 284 ) / 8236

= 116 / 284

= 116

Step2:

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

= 4 / 242

= 4

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 116, 284, 242, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 950, 906, 539
• GCD of 265, 751, 737, 707
• GCD of 867, 383, 909, 346
• GCD of 880, 311, 824, 736
• GCD of 652, 757, 739, 163

Given numbers are 116, 284, 242, 428
The greatest common divisor of numbers 116, 284, 242, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 284, 242, 428 is 2.

1. What is the GCD of 116, 284, 242, 428?

GCD of given numbers 116, 284, 242, 428 is 2

2. How to calculate the greatest common divisor of 116, 284, 242, 428?

We can find the highest common divisor of 116, 284, 242, 428 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 116, 284, 242, 428 i.e 2.

3. How can I use the GCD of 116, 284, 242, 428Calculator?

Out the numbers 116, 284, 242, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.