GCD of 261, 798, 189, 117 Calculator

Given Input numbers are 261, 798, 189, 117

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (261, 798, 189, 117) = 3.

Given numbers are 261, 798, 189, 117

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 261, 798, 189, 117 is 3.

Given numbers are 261, 798, 189, 117

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

Apply this formula for all numbers.

Step1:

LCM(261, 798) = 69426

GCD(261, 798) = ( 261 x 798 ) / 69426

= 261 / 798

= 261

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 261, 798, 189, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 585, 291, 465
• GCD of 931, 533, 691, 430
• GCD of 467, 950, 209, 817
• GCD of 329, 197, 652, 145
• GCD of 587, 944, 260, 746

Given numbers are 261, 798, 189, 117
The greatest common divisor of numbers 261, 798, 189, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 798, 189, 117 is 3.

1. What is the GCD of 261, 798, 189, 117?

GCD of given numbers 261, 798, 189, 117 is 3

2. How to calculate the greatest common divisor of 261, 798, 189, 117?

We can find the highest common divisor of 261, 798, 189, 117 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 261, 798, 189, 117 i.e 3.

3. How can I use the GCD of 261, 798, 189, 117Calculator?

Out the numbers 261, 798, 189, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.