GCD of 936, 854, 26, 700 Calculator

Given Input numbers are 936, 854, 26, 700

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

Greatest Common Divisior

We found the divisors of 936, 854, 26, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 854, 26, 700 is 2.

Therefore, GCD of numbers 936, 854, 26, 700 is 2

Given Input Data is 936, 854, 26, 700

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 26 is 2 x 13

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

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(936, 854) = 399672

GCD(936, 854) = ( 936 x 854 ) / 399672

GCD(936, 854) = 799344 / 399672

GCD(936, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

GCD of 936, 854, 26, 700 is 2

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1. What is the GCD of 936, 854, 26, 700?

GCD of 936, 854, 26, 700 is 2

2. Where do I get the detailed procedure to find GCD of 936, 854, 26, 700?

You can find a detailed procedure to find GCD of 936, 854, 26, 700 on our page.

3. How to find GCD of 936, 854, 26, 700 on a calculator?

You can find the GCD of 936, 854, 26, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.