GCD of 700, 852, 834 Calculator

Given Input numbers are 700, 852, 834

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 834

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

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

Greatest Common Divisior

We found the divisors of 700, 852, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 852, 834 is 2.

Therefore, GCD of numbers 700, 852, 834 is 2

Given Input Data is 700, 852, 834

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 834 is 2 x 3 x 139

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(700, 852) = 149100

GCD(700, 852) = ( 700 x 852 ) / 149100

GCD(700, 852) = 596400 / 149100

GCD(700, 852) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 834

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

LCM(4, 834) = 1668

GCD(4, 834) = ( 4 x 834 ) / 1668

GCD(4, 834) = 3336 / 1668

GCD(4, 834) = 2

GCD of 700, 852, 834 is 2

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• GCD of 743, 918, 605
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1. What is the GCD of 700, 852, 834?

GCD of 700, 852, 834 is 2

2. Where do I get the detailed procedure to find GCD of 700, 852, 834?

You can find a detailed procedure to find GCD of 700, 852, 834 on our page.

3. How to find GCD of 700, 852, 834 on a calculator?

You can find the GCD of 700, 852, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.