GCD of 700, 834, 939, 540 Calculator

Given Input numbers are 700, 834, 939, 540

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 834

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

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

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 700, 834, 939, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 834, 939, 540 is 1.

Therefore, GCD of numbers 700, 834, 939, 540 is 1

Given Input Data is 700, 834, 939, 540

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 834 is 2 x 3 x 139

Prime Factorization of 939 is 3 x 313

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

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, 834) = 291900

GCD(700, 834) = ( 700 x 834 ) / 291900

GCD(700, 834) = 583800 / 291900

GCD(700, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 939

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

LCM(2, 939) = 1878

GCD(2, 939) = ( 2 x 939 ) / 1878

GCD(2, 939) = 1878 / 1878

GCD(2, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 700, 834, 939, 540 is 1

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1. What is the GCD of 700, 834, 939, 540?

GCD of 700, 834, 939, 540 is 1

2. Where do I get the detailed procedure to find GCD of 700, 834, 939, 540?

You can find a detailed procedure to find GCD of 700, 834, 939, 540 on our page.

3. How to find GCD of 700, 834, 939, 540 on a calculator?

You can find the GCD of 700, 834, 939, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.