GCD of 422, 726, 48, 316 Calculator

Given Input numbers are 422, 726, 48, 316

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

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (422, 726, 48, 316) = 2.

Given numbers are 422, 726, 48, 316

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 422, 726, 48, 316 is 2.

Given numbers are 422, 726, 48, 316

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

Apply this formula for all numbers.

Step1:

LCM(422, 726) = 153186

GCD(422, 726) = ( 422 x 726 ) / 153186

= 422 / 726

= 422

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 422, 726, 48, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 888, 84, 532
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• GCD of 107, 403, 87, 928
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• GCD of 928, 783, 43, 895

Given numbers are 422, 726, 48, 316
The greatest common divisor of numbers 422, 726, 48, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 726, 48, 316 is 2.

1. What is the GCD of 422, 726, 48, 316?

GCD of given numbers 422, 726, 48, 316 is 2

2. How to calculate the greatest common divisor of 422, 726, 48, 316?

We can find the highest common divisor of 422, 726, 48, 316 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 422, 726, 48, 316 i.e 2.

3. How can I use the GCD of 422, 726, 48, 316Calculator?

Out the numbers 422, 726, 48, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.