GCD of 680, 306, 102 Calculator

Given Input numbers are 680, 306, 102

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (680, 306, 102) = 34.

Given numbers are 680, 306, 102

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 17¹ x 2¹

Therefore, GCD of 680, 306, 102 is 34.

Given numbers are 680, 306, 102

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

Apply this formula for all numbers.

Step1:

LCM(680, 306) = 6120

GCD(680, 306) = ( 680 x 306 ) / 6120

= 680 / 306

= 680

Step2:

LCM(34, 102) = 102

GCD(34, 102) = ( 34 x 102 ) / 102

= 34 / 102

= 34

So, Greatest Common Divisor of 680, 306, 102 is 34

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 783, 480
• GCD of 669, 126, 587
• GCD of 177, 458, 488
• GCD of 373, 440, 233
• GCD of 453, 487, 624

Given numbers are 680, 306, 102
The greatest common divisor of numbers 680, 306, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 306, 102 is 34.

1. What is the GCD of 680, 306, 102?

GCD of given numbers 680, 306, 102 is 34

2. How to calculate the greatest common divisor of 680, 306, 102?

We can find the highest common divisor of 680, 306, 102 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 680, 306, 102 i.e 34.

3. How can I use the GCD of 680, 306, 102Calculator?

Out the numbers 680, 306, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.