GCD of 854, 826, 945, 868 Calculator

Given Input numbers are 854, 826, 945, 868

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

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 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Greatest Common Divisior

We found the divisors of 854, 826, 945, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 826, 945, 868 is 7.

Therefore, GCD of numbers 854, 826, 945, 868 is 7

Given Input Data is 854, 826, 945, 868

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 868 is 2 x 2 x 7 x 31

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(854, 826) = 50386

GCD(854, 826) = ( 854 x 826 ) / 50386

GCD(854, 826) = 705404 / 50386

GCD(854, 826) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 945

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

LCM(14, 945) = 1890

GCD(14, 945) = ( 14 x 945 ) / 1890

GCD(14, 945) = 13230 / 1890

GCD(14, 945) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 868

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

LCM(7, 868) = 868

GCD(7, 868) = ( 7 x 868 ) / 868

GCD(7, 868) = 6076 / 868

GCD(7, 868) = 7

GCD of 854, 826, 945, 868 is 7

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1. What is the GCD of 854, 826, 945, 868?

GCD of 854, 826, 945, 868 is 7

2. Where do I get the detailed procedure to find GCD of 854, 826, 945, 868?

You can find a detailed procedure to find GCD of 854, 826, 945, 868 on our page.

3. How to find GCD of 854, 826, 945, 868 on a calculator?

You can find the GCD of 854, 826, 945, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.