GCD of 334, 422, 508, 460 Calculator

Given Input numbers are 334, 422, 508, 460

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (334, 422, 508, 460) = 2.

Given numbers are 334, 422, 508, 460

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 422 are 2 x 211

Prime factors of 508 are 2 x 2 x 127

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 334, 422, 508, 460 is 2.

Given numbers are 334, 422, 508, 460

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

Apply this formula for all numbers.

Step1:

LCM(334, 422) = 70474

GCD(334, 422) = ( 334 x 422 ) / 70474

= 334 / 422

= 334

Step2:

LCM(2, 508) = 508

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

= 2 / 508

= 2

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 334, 422, 508, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 605, 811, 866
• GCD of 452, 291, 912, 444
• GCD of 660, 951, 180, 910
• GCD of 745, 340, 473, 587
• GCD of 666, 549, 992, 848

Given numbers are 334, 422, 508, 460
The greatest common divisor of numbers 334, 422, 508, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 422, 508, 460 is 2.

1. What is the GCD of 334, 422, 508, 460?

GCD of given numbers 334, 422, 508, 460 is 2

2. How to calculate the greatest common divisor of 334, 422, 508, 460?

We can find the highest common divisor of 334, 422, 508, 460 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 334, 422, 508, 460 i.e 2.

3. How can I use the GCD of 334, 422, 508, 460Calculator?

Out the numbers 334, 422, 508, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.