GCD of 266, 189, 336 Calculator

Given Input numbers are 266, 189, 336

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

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 189 :

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

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (266, 189, 336) = 7.

Given numbers are 266, 189, 336

The list of prime factors of all numbers are

Prime factors of 266 are 2 x 7 x 19

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

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 266, 189, 336 is 7.

Given numbers are 266, 189, 336

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

Apply this formula for all numbers.

Step1:

LCM(266, 189) = 7182

GCD(266, 189) = ( 266 x 189 ) / 7182

= 266 / 189

= 266

Step2:

LCM(7, 336) = 336

GCD(7, 336) = ( 7 x 336 ) / 336

= 7 / 336

= 7

So, Greatest Common Divisor of 266, 189, 336 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 965, 136
• GCD of 924, 786, 292
• GCD of 874, 257, 122
• GCD of 510, 242, 538
• GCD of 443, 220, 941

Given numbers are 266, 189, 336
The greatest common divisor of numbers 266, 189, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 266, 189, 336 is 7.

1. What is the GCD of 266, 189, 336?

GCD of given numbers 266, 189, 336 is 7

2. How to calculate the greatest common divisor of 266, 189, 336?

We can find the highest common divisor of 266, 189, 336 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 266, 189, 336 i.e 7.

3. How can I use the GCD of 266, 189, 336Calculator?

Out the numbers 266, 189, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.