GCD of 984, 210, 174 Calculator

Given Input numbers are 984, 210, 174

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 (984, 210, 174) = 6.

Given numbers are 984, 210, 174

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 984, 210, 174 is 6.

Given numbers are 984, 210, 174

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

Apply this formula for all numbers.

Step1:

LCM(984, 210) = 34440

GCD(984, 210) = ( 984 x 210 ) / 34440

= 984 / 210

= 984

Step2:

LCM(6, 174) = 174

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

= 6 / 174

= 6

So, Greatest Common Divisor of 984, 210, 174 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 641, 802
• GCD of 785, 412, 827
• GCD of 129, 520, 227
• GCD of 712, 699, 512
• GCD of 897, 682, 174

Given numbers are 984, 210, 174
The greatest common divisor of numbers 984, 210, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 210, 174 is 6.

1. What is the GCD of 984, 210, 174?

GCD of given numbers 984, 210, 174 is 6

2. How to calculate the greatest common divisor of 984, 210, 174?

We can find the highest common divisor of 984, 210, 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 984, 210, 174 i.e 6.

3. How can I use the GCD of 984, 210, 174Calculator?

Out the numbers 984, 210, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.