GCD of 687, 270, 759, 102 Calculator

Given Input numbers are 687, 270, 759, 102

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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 (687, 270, 759, 102) = 3.

Given numbers are 687, 270, 759, 102

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 759 are 3 x 11 x 23

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 687, 270, 759, 102 is 3.

Given numbers are 687, 270, 759, 102

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

Apply this formula for all numbers.

Step1:

LCM(687, 270) = 61830

GCD(687, 270) = ( 687 x 270 ) / 61830

= 687 / 270

= 687

Step2:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 687, 270, 759, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 990, 945, 560
• GCD of 788, 738, 200, 266
• GCD of 340, 754, 670, 542
• GCD of 253, 868, 209, 541
• GCD of 854, 251, 105, 630

Given numbers are 687, 270, 759, 102
The greatest common divisor of numbers 687, 270, 759, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 270, 759, 102 is 3.

1. What is the GCD of 687, 270, 759, 102?

GCD of given numbers 687, 270, 759, 102 is 3

2. How to calculate the greatest common divisor of 687, 270, 759, 102?

We can find the highest common divisor of 687, 270, 759, 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 687, 270, 759, 102 i.e 3.

3. How can I use the GCD of 687, 270, 759, 102Calculator?

Out the numbers 687, 270, 759, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.