GCD of 118, 316, 838, 302 Calculator

Given Input numbers are 118, 316, 838, 302

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 316 :

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

1, 2, 4, 79, 158, 316

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 302 :

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

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (118, 316, 838, 302) = 2.

Given numbers are 118, 316, 838, 302

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 316 are 2 x 2 x 79

Prime factors of 838 are 2 x 419

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 118, 316, 838, 302 is 2.

Given numbers are 118, 316, 838, 302

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

Apply this formula for all numbers.

Step1:

LCM(118, 316) = 18644

GCD(118, 316) = ( 118 x 316 ) / 18644

= 118 / 316

= 118

Step2:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 118, 316, 838, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 184, 557, 405
• GCD of 656, 661, 227, 988
• GCD of 777, 986, 474, 895
• GCD of 315, 360, 877, 238
• GCD of 443, 163, 296, 544

Given numbers are 118, 316, 838, 302
The greatest common divisor of numbers 118, 316, 838, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 316, 838, 302 is 2.

1. What is the GCD of 118, 316, 838, 302?

GCD of given numbers 118, 316, 838, 302 is 2

2. How to calculate the greatest common divisor of 118, 316, 838, 302?

We can find the highest common divisor of 118, 316, 838, 302 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 118, 316, 838, 302 i.e 2.

3. How can I use the GCD of 118, 316, 838, 302Calculator?

Out the numbers 118, 316, 838, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.