GCD of 852, 140, 866, 976 Calculator

Given Input numbers are 852, 140, 866, 976

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

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 852, 140, 866, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 140, 866, 976 is 2.

Therefore, GCD of numbers 852, 140, 866, 976 is 2

Given Input Data is 852, 140, 866, 976

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

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 866 is 2 x 433

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(852, 140) = 29820

GCD(852, 140) = ( 852 x 140 ) / 29820

GCD(852, 140) = 119280 / 29820

GCD(852, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 866

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

LCM(4, 866) = 1732

GCD(4, 866) = ( 4 x 866 ) / 1732

GCD(4, 866) = 3464 / 1732

GCD(4, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

GCD of 852, 140, 866, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 843, 876, 813
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1. What is the GCD of 852, 140, 866, 976?

GCD of 852, 140, 866, 976 is 2

2. Where do I get the detailed procedure to find GCD of 852, 140, 866, 976?

You can find a detailed procedure to find GCD of 852, 140, 866, 976 on our page.

3. How to find GCD of 852, 140, 866, 976 on a calculator?

You can find the GCD of 852, 140, 866, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.