GCD of 876, 402, 162, 906 Calculator

Given Input numbers are 876, 402, 162, 906

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 876, 402, 162, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 402, 162, 906 is 6.

Therefore, GCD of numbers 876, 402, 162, 906 is 6

Given Input Data is 876, 402, 162, 906

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 906 is 2 x 3 x 151

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(876, 402) = 58692

GCD(876, 402) = ( 876 x 402 ) / 58692

GCD(876, 402) = 352152 / 58692

GCD(876, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 162

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

LCM(6, 162) = 162

GCD(6, 162) = ( 6 x 162 ) / 162

GCD(6, 162) = 972 / 162

GCD(6, 162) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 906

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

LCM(6, 906) = 906

GCD(6, 906) = ( 6 x 906 ) / 906

GCD(6, 906) = 5436 / 906

GCD(6, 906) = 6

GCD of 876, 402, 162, 906 is 6

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1. What is the GCD of 876, 402, 162, 906?

GCD of 876, 402, 162, 906 is 6

2. Where do I get the detailed procedure to find GCD of 876, 402, 162, 906?

You can find a detailed procedure to find GCD of 876, 402, 162, 906 on our page.

3. How to find GCD of 876, 402, 162, 906 on a calculator?

You can find the GCD of 876, 402, 162, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.