GCD of 316, 118, 270, 174 Calculator

Given Input numbers are 316, 118, 270, 174

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

Divisors of 316 :

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

1, 2, 4, 79, 158, 316

Divisors of 118 :

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

1, 2, 59, 118

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (316, 118, 270, 174) = 2.

Given numbers are 316, 118, 270, 174

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 118 are 2 x 59

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 316, 118, 270, 174 is 2.

Given numbers are 316, 118, 270, 174

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

Apply this formula for all numbers.

Step1:

LCM(316, 118) = 18644

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

= 316 / 118

= 316

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 316, 118, 270, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 889, 447, 929
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Given numbers are 316, 118, 270, 174
The greatest common divisor of numbers 316, 118, 270, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 118, 270, 174 is 2.

1. What is the GCD of 316, 118, 270, 174?

GCD of given numbers 316, 118, 270, 174 is 2

2. How to calculate the greatest common divisor of 316, 118, 270, 174?

We can find the highest common divisor of 316, 118, 270, 174 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 316, 118, 270, 174 i.e 2.

3. How can I use the GCD of 316, 118, 270, 174Calculator?

Out the numbers 316, 118, 270, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.