GCD of 234, 681, 870, 261 Calculator

Given Input numbers are 234, 681, 870, 261

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 (234, 681, 870, 261) = 3.

Given numbers are 234, 681, 870, 261

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 681 are 3 x 227

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 234, 681, 870, 261 is 3.

Given numbers are 234, 681, 870, 261

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

Apply this formula for all numbers.

Step1:

LCM(234, 681) = 53118

GCD(234, 681) = ( 234 x 681 ) / 53118

= 234 / 681

= 234

Step2:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

Step3:

LCM(3, 261) = 261

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

= 3 / 261

= 3

So, Greatest Common Divisor of 234, 681, 870, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 233, 966, 990
• GCD of 196, 939, 662, 518
• GCD of 669, 119, 772, 456
• GCD of 547, 188, 574, 252
• GCD of 135, 675, 752, 814

Given numbers are 234, 681, 870, 261
The greatest common divisor of numbers 234, 681, 870, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 681, 870, 261 is 3.

1. What is the GCD of 234, 681, 870, 261?

GCD of given numbers 234, 681, 870, 261 is 3

2. How to calculate the greatest common divisor of 234, 681, 870, 261?

We can find the highest common divisor of 234, 681, 870, 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 234, 681, 870, 261 i.e 3.

3. How can I use the GCD of 234, 681, 870, 261Calculator?

Out the numbers 234, 681, 870, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.