GCD of 705, 822, 687, 261 Calculator

Given Input numbers are 705, 822, 687, 261

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (705, 822, 687, 261) = 3.

Given numbers are 705, 822, 687, 261

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 822 are 2 x 3 x 137

Prime factors of 687 are 3 x 229

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 705, 822, 687, 261 is 3.

Given numbers are 705, 822, 687, 261

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

Apply this formula for all numbers.

Step1:

LCM(705, 822) = 193170

GCD(705, 822) = ( 705 x 822 ) / 193170

= 705 / 822

= 705

Step2:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 705, 822, 687, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 690, 479, 331
• GCD of 596, 201, 652, 603
• GCD of 238, 712, 278, 994
• GCD of 720, 669, 839, 189
• GCD of 191, 143, 509, 863

Given numbers are 705, 822, 687, 261
The greatest common divisor of numbers 705, 822, 687, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 822, 687, 261 is 3.

1. What is the GCD of 705, 822, 687, 261?

GCD of given numbers 705, 822, 687, 261 is 3

2. How to calculate the greatest common divisor of 705, 822, 687, 261?

We can find the highest common divisor of 705, 822, 687, 261 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 705, 822, 687, 261 i.e 3.

3. How can I use the GCD of 705, 822, 687, 261Calculator?

Out the numbers 705, 822, 687, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.