GCD of 314, 422, 632, 238 Calculator

Given Input numbers are 314, 422, 632, 238

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (314, 422, 632, 238) = 2.

Given numbers are 314, 422, 632, 238

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 422 are 2 x 211

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 314, 422, 632, 238 is 2.

Given numbers are 314, 422, 632, 238

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

Apply this formula for all numbers.

Step1:

LCM(314, 422) = 66254

GCD(314, 422) = ( 314 x 422 ) / 66254

= 314 / 422

= 314

Step2:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 314, 422, 632, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 850, 758, 212
• GCD of 460, 235, 778, 111
• GCD of 282, 558, 283, 507
• GCD of 222, 790, 736, 201
• GCD of 531, 547, 350, 818

Given numbers are 314, 422, 632, 238
The greatest common divisor of numbers 314, 422, 632, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 422, 632, 238 is 2.

1. What is the GCD of 314, 422, 632, 238?

GCD of given numbers 314, 422, 632, 238 is 2

2. How to calculate the greatest common divisor of 314, 422, 632, 238?

We can find the highest common divisor of 314, 422, 632, 238 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 314, 422, 632, 238 i.e 2.

3. How can I use the GCD of 314, 422, 632, 238Calculator?

Out the numbers 314, 422, 632, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.