GCD of 834, 654, 920 Calculator

Given Input numbers are 834, 654, 920

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 834, 654, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 654, 920 is 2.

Therefore, GCD of numbers 834, 654, 920 is 2

Given Input Data is 834, 654, 920

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(834, 654) = 90906

GCD(834, 654) = ( 834 x 654 ) / 90906

GCD(834, 654) = 545436 / 90906

GCD(834, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 920

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

LCM(6, 920) = 2760

GCD(6, 920) = ( 6 x 920 ) / 2760

GCD(6, 920) = 5520 / 2760

GCD(6, 920) = 2

GCD of 834, 654, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 582, 989
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1. What is the GCD of 834, 654, 920?

GCD of 834, 654, 920 is 2

2. Where do I get the detailed procedure to find GCD of 834, 654, 920?

You can find a detailed procedure to find GCD of 834, 654, 920 on our page.

3. How to find GCD of 834, 654, 920 on a calculator?

You can find the GCD of 834, 654, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.