GCD of 118, 736, 314 Calculator

Given Input numbers are 118, 736, 314

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 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 314 :

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

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (118, 736, 314) = 2.

Given numbers are 118, 736, 314

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 118, 736, 314 is 2.

Given numbers are 118, 736, 314

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

Apply this formula for all numbers.

Step1:

LCM(118, 736) = 43424

GCD(118, 736) = ( 118 x 736 ) / 43424

= 118 / 736

= 118

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 118, 736, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 172, 309
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• GCD of 175, 284, 435
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Given numbers are 118, 736, 314
The greatest common divisor of numbers 118, 736, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 736, 314 is 2.

1. What is the GCD of 118, 736, 314?

GCD of given numbers 118, 736, 314 is 2

2. How to calculate the greatest common divisor of 118, 736, 314?

We can find the highest common divisor of 118, 736, 314 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, 736, 314 i.e 2.

3. How can I use the GCD of 118, 736, 314Calculator?

Out the numbers 118, 736, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.