GCD of 908, 242, 280, 508 Calculator

Given Input numbers are 908, 242, 280, 508

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (908, 242, 280, 508) = 2.

Given numbers are 908, 242, 280, 508

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 242 are 2 x 11 x 11

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 908, 242, 280, 508 is 2.

Given numbers are 908, 242, 280, 508

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

Apply this formula for all numbers.

Step1:

LCM(908, 242) = 109868

GCD(908, 242) = ( 908 x 242 ) / 109868

= 908 / 242

= 908

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 908, 242, 280, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 438, 610, 586
• GCD of 294, 959, 415, 709
• GCD of 475, 192, 196, 297
• GCD of 941, 173, 185, 536
• GCD of 509, 470, 858, 222

Given numbers are 908, 242, 280, 508
The greatest common divisor of numbers 908, 242, 280, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 242, 280, 508 is 2.

1. What is the GCD of 908, 242, 280, 508?

GCD of given numbers 908, 242, 280, 508 is 2

2. How to calculate the greatest common divisor of 908, 242, 280, 508?

We can find the highest common divisor of 908, 242, 280, 508 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 908, 242, 280, 508 i.e 2.

3. How can I use the GCD of 908, 242, 280, 508Calculator?

Out the numbers 908, 242, 280, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.