GCD of 302, 138, 916, 404 Calculator

Given Input numbers are 302, 138, 916, 404

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (302, 138, 916, 404) = 2.

Given numbers are 302, 138, 916, 404

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 138 are 2 x 3 x 23

Prime factors of 916 are 2 x 2 x 229

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 302, 138, 916, 404 is 2.

Given numbers are 302, 138, 916, 404

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

Apply this formula for all numbers.

Step1:

LCM(302, 138) = 20838

GCD(302, 138) = ( 302 x 138 ) / 20838

= 302 / 138

= 302

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 302, 138, 916, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 205, 920, 267
• GCD of 684, 312, 779, 739
• GCD of 253, 465, 168, 651
• GCD of 671, 430, 568, 963
• GCD of 927, 206, 530, 628

Given numbers are 302, 138, 916, 404
The greatest common divisor of numbers 302, 138, 916, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 138, 916, 404 is 2.

1. What is the GCD of 302, 138, 916, 404?

GCD of given numbers 302, 138, 916, 404 is 2

2. How to calculate the greatest common divisor of 302, 138, 916, 404?

We can find the highest common divisor of 302, 138, 916, 404 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 302, 138, 916, 404 i.e 2.

3. How can I use the GCD of 302, 138, 916, 404Calculator?

Out the numbers 302, 138, 916, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.