GCD of 174, 956, 138 Calculator

Given Input numbers are 174, 956, 138

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

Divisors of 174 :

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

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

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (174, 956, 138) = 2.

Given numbers are 174, 956, 138

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 956 are 2 x 2 x 239

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 174, 956, 138 is 2.

Given numbers are 174, 956, 138

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

Apply this formula for all numbers.

Step1:

LCM(174, 956) = 83172

GCD(174, 956) = ( 174 x 956 ) / 83172

= 174 / 956

= 174

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 174, 956, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 913, 229
• GCD of 788, 459, 487
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• GCD of 468, 463, 791
• GCD of 917, 349, 716

Given numbers are 174, 956, 138
The greatest common divisor of numbers 174, 956, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 956, 138 is 2.

1. What is the GCD of 174, 956, 138?

GCD of given numbers 174, 956, 138 is 2

2. How to calculate the greatest common divisor of 174, 956, 138?

We can find the highest common divisor of 174, 956, 138 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 174, 956, 138 i.e 2.

3. How can I use the GCD of 174, 956, 138Calculator?

Out the numbers 174, 956, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.