GCD of 687, 651, 357, 255 Calculator

Given Input numbers are 687, 651, 357, 255

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 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

GCD of numbers is the greatest common divisor

So, the GCD (687, 651, 357, 255) = 3.

Given numbers are 687, 651, 357, 255

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 651 are 3 x 7 x 31

Prime factors of 357 are 3 x 7 x 17

Prime factors of 255 are 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 687, 651, 357, 255 is 3.

Given numbers are 687, 651, 357, 255

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

Apply this formula for all numbers.

Step1:

LCM(687, 651) = 149079

GCD(687, 651) = ( 687 x 651 ) / 149079

= 687 / 651

= 687

Step2:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

Step3:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3

So, Greatest Common Divisor of 687, 651, 357, 255 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 606, 507, 741
• GCD of 463, 851, 933, 817
• GCD of 524, 246, 996, 390
• GCD of 959, 300, 766, 716
• GCD of 583, 912, 980, 283

Given numbers are 687, 651, 357, 255
The greatest common divisor of numbers 687, 651, 357, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 651, 357, 255 is 3.

1. What is the GCD of 687, 651, 357, 255?

GCD of given numbers 687, 651, 357, 255 is 3

2. How to calculate the greatest common divisor of 687, 651, 357, 255?

We can find the highest common divisor of 687, 651, 357, 255 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, 651, 357, 255 i.e 3.

3. How can I use the GCD of 687, 651, 357, 255Calculator?

Out the numbers 687, 651, 357, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.