GCD of 861, 918, 261, 210 Calculator

Given Input numbers are 861, 918, 261, 210

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

Divisors of 861 :

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

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (861, 918, 261, 210) = 3.

Given numbers are 861, 918, 261, 210

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 261 are 3 x 3 x 29

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 861, 918, 261, 210 is 3.

Given numbers are 861, 918, 261, 210

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

Apply this formula for all numbers.

Step1:

LCM(861, 918) = 263466

GCD(861, 918) = ( 861 x 918 ) / 263466

= 861 / 918

= 861

Step2:

LCM(3, 261) = 261

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

= 3 / 261

= 3

Step3:

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

= 3 / 210

= 3

So, Greatest Common Divisor of 861, 918, 261, 210 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 375, 417, 372
• GCD of 384, 458, 413, 802
• GCD of 984, 434, 273, 642
• GCD of 344, 164, 247, 507
• GCD of 946, 236, 144, 261

Given numbers are 861, 918, 261, 210
The greatest common divisor of numbers 861, 918, 261, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 918, 261, 210 is 3.

1. What is the GCD of 861, 918, 261, 210?

GCD of given numbers 861, 918, 261, 210 is 3

2. How to calculate the greatest common divisor of 861, 918, 261, 210?

We can find the highest common divisor of 861, 918, 261, 210 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 861, 918, 261, 210 i.e 3.

3. How can I use the GCD of 861, 918, 261, 210Calculator?

Out the numbers 861, 918, 261, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.