GCD of 846, 492, 390, 174 Calculator

Given Input numbers are 846, 492, 390, 174

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 (846, 492, 390, 174) = 6.

Given numbers are 846, 492, 390, 174

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 846, 492, 390, 174 is 6.

Given numbers are 846, 492, 390, 174

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

Apply this formula for all numbers.

Step1:

LCM(846, 492) = 69372

GCD(846, 492) = ( 846 x 492 ) / 69372

= 846 / 492

= 846

Step2:

LCM(6, 390) = 390

GCD(6, 390) = ( 6 x 390 ) / 390

= 6 / 390

= 6

Step3:

LCM(6, 174) = 174

GCD(6, 174) = ( 6 x 174 ) / 174

= 6 / 174

= 6

So, Greatest Common Divisor of 846, 492, 390, 174 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 112, 175, 816
• GCD of 728, 431, 125, 368
• GCD of 717, 395, 473, 688
• GCD of 654, 205, 355, 835
• GCD of 270, 692, 447, 477

Given numbers are 846, 492, 390, 174
The greatest common divisor of numbers 846, 492, 390, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 492, 390, 174 is 6.

1. What is the GCD of 846, 492, 390, 174?

GCD of given numbers 846, 492, 390, 174 is 6

2. How to calculate the greatest common divisor of 846, 492, 390, 174?

We can find the highest common divisor of 846, 492, 390, 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 846, 492, 390, 174 i.e 6.

3. How can I use the GCD of 846, 492, 390, 174Calculator?

Out the numbers 846, 492, 390, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.