GCD of 867, 975, 528, 411 Calculator

Given Input numbers are 867, 975, 528, 411

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 867, 975, 528, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 975, 528, 411 is 3.

Therefore, GCD of numbers 867, 975, 528, 411 is 3

Given Input Data is 867, 975, 528, 411

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 411 is 3 x 137

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(867, 975) = 281775

GCD(867, 975) = ( 867 x 975 ) / 281775

GCD(867, 975) = 845325 / 281775

GCD(867, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 528

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

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

GCD(3, 528) = 1584 / 528

GCD(3, 528) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 411

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

LCM(3, 411) = 411

GCD(3, 411) = ( 3 x 411 ) / 411

GCD(3, 411) = 1233 / 411

GCD(3, 411) = 3

GCD of 867, 975, 528, 411 is 3

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1. What is the GCD of 867, 975, 528, 411?

GCD of 867, 975, 528, 411 is 3

2. Where do I get the detailed procedure to find GCD of 867, 975, 528, 411?

You can find a detailed procedure to find GCD of 867, 975, 528, 411 on our page.

3. How to find GCD of 867, 975, 528, 411 on a calculator?

You can find the GCD of 867, 975, 528, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.