GCD of 921, 438, 849 Calculator

Given Input numbers are 921, 438, 849

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (921, 438, 849) = 3.

Given numbers are 921, 438, 849

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 438 are 2 x 3 x 73

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 921, 438, 849 is 3.

Given numbers are 921, 438, 849

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

Apply this formula for all numbers.

Step1:

LCM(921, 438) = 134466

GCD(921, 438) = ( 921 x 438 ) / 134466

= 921 / 438

= 921

Step2:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 921, 438, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 164, 330
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• GCD of 657, 360, 127

Given numbers are 921, 438, 849
The greatest common divisor of numbers 921, 438, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 438, 849 is 3.

1. What is the GCD of 921, 438, 849?

GCD of given numbers 921, 438, 849 is 3

2. How to calculate the greatest common divisor of 921, 438, 849?

We can find the highest common divisor of 921, 438, 849 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 921, 438, 849 i.e 3.

3. How can I use the GCD of 921, 438, 849Calculator?

Out the numbers 921, 438, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.