GCD of 687, 762, 861 Calculator

Given Input numbers are 687, 762, 861

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (687, 762, 861) = 3.

Given numbers are 687, 762, 861

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 762 are 2 x 3 x 127

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 3¹

Therefore, GCD of 687, 762, 861 is 3.

Given numbers are 687, 762, 861

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

Apply this formula for all numbers.

Step1:

LCM(687, 762) = 174498

GCD(687, 762) = ( 687 x 762 ) / 174498

= 687 / 762

= 687

Step2:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

So, Greatest Common Divisor of 687, 762, 861 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 971, 624
• GCD of 318, 151, 669
• GCD of 886, 897, 594
• GCD of 690, 308, 643
• GCD of 760, 150, 578

Given numbers are 687, 762, 861
The greatest common divisor of numbers 687, 762, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 762, 861 is 3.

1. What is the GCD of 687, 762, 861?

GCD of given numbers 687, 762, 861 is 3

2. How to calculate the greatest common divisor of 687, 762, 861?

We can find the highest common divisor of 687, 762, 861 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, 762, 861 i.e 3.

3. How can I use the GCD of 687, 762, 861Calculator?

Out the numbers 687, 762, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.