GCD of 174, 836, 996, 138 Calculator

Given Input numbers are 174, 836, 996, 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 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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, 836, 996, 138) = 2.

Given numbers are 174, 836, 996, 138

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 174, 836, 996, 138 is 2.

Given numbers are 174, 836, 996, 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, 836) = 72732

GCD(174, 836) = ( 174 x 836 ) / 72732

= 174 / 836

= 174

Step2:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

Step3:

LCM(2, 138) = 138

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

= 2 / 138

= 2

So, Greatest Common Divisor of 174, 836, 996, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 770, 664, 910
• GCD of 720, 569, 680, 267
• GCD of 927, 279, 324, 809
• GCD of 666, 361, 525, 210
• GCD of 923, 901, 385, 984

Given numbers are 174, 836, 996, 138
The greatest common divisor of numbers 174, 836, 996, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 836, 996, 138 is 2.

1. What is the GCD of 174, 836, 996, 138?

GCD of given numbers 174, 836, 996, 138 is 2

2. How to calculate the greatest common divisor of 174, 836, 996, 138?

We can find the highest common divisor of 174, 836, 996, 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, 836, 996, 138 i.e 2.

3. How can I use the GCD of 174, 836, 996, 138Calculator?

Out the numbers 174, 836, 996, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.