GCD of 908, 508, 848, 922 Calculator

Given Input numbers are 908, 508, 848, 922

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 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (908, 508, 848, 922) = 2.

Given numbers are 908, 508, 848, 922

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 508 are 2 x 2 x 127

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 908, 508, 848, 922 is 2.

Given numbers are 908, 508, 848, 922

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

Apply this formula for all numbers.

Step1:

LCM(908, 508) = 115316

GCD(908, 508) = ( 908 x 508 ) / 115316

= 908 / 508

= 908

Step2:

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

= 4 / 848

= 4

Step3:

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

= 4 / 922

= 4

So, Greatest Common Divisor of 908, 508, 848, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 518, 732, 406
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Given numbers are 908, 508, 848, 922
The greatest common divisor of numbers 908, 508, 848, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 508, 848, 922 is 2.

1. What is the GCD of 908, 508, 848, 922?

GCD of given numbers 908, 508, 848, 922 is 2

2. How to calculate the greatest common divisor of 908, 508, 848, 922?

We can find the highest common divisor of 908, 508, 848, 922 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, 508, 848, 922 i.e 2.

3. How can I use the GCD of 908, 508, 848, 922Calculator?

Out the numbers 908, 508, 848, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.