GCD of 170, 988, 780, 304 Calculator

Given Input numbers are 170, 988, 780, 304

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (170, 988, 780, 304) = 2.

Given numbers are 170, 988, 780, 304

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 170, 988, 780, 304 is 2.

Given numbers are 170, 988, 780, 304

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

Apply this formula for all numbers.

Step1:

LCM(170, 988) = 83980

GCD(170, 988) = ( 170 x 988 ) / 83980

= 170 / 988

= 170

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 170, 988, 780, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 366, 786, 706
• GCD of 362, 499, 798, 564
• GCD of 867, 129, 113, 225
• GCD of 163, 762, 419, 453
• GCD of 275, 576, 474, 459

Given numbers are 170, 988, 780, 304
The greatest common divisor of numbers 170, 988, 780, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 988, 780, 304 is 2.

1. What is the GCD of 170, 988, 780, 304?

GCD of given numbers 170, 988, 780, 304 is 2

2. How to calculate the greatest common divisor of 170, 988, 780, 304?

We can find the highest common divisor of 170, 988, 780, 304 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 170, 988, 780, 304 i.e 2.

3. How can I use the GCD of 170, 988, 780, 304Calculator?

Out the numbers 170, 988, 780, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.