GCD of 528, 476, 292, 940 Calculator

Given Input numbers are 528, 476, 292, 940

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

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 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 528, 476, 292, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 476, 292, 940 is 4.

Therefore, GCD of numbers 528, 476, 292, 940 is 4

Given Input Data is 528, 476, 292, 940

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

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 940 is 2 x 2 x 5 x 47

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(528, 476) = 62832

GCD(528, 476) = ( 528 x 476 ) / 62832

GCD(528, 476) = 251328 / 62832

GCD(528, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 292

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

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

GCD(4, 292) = 1168 / 292

GCD(4, 292) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 940

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

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

GCD(4, 940) = 3760 / 940

GCD(4, 940) = 4

GCD of 528, 476, 292, 940 is 4

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1. What is the GCD of 528, 476, 292, 940?

GCD of 528, 476, 292, 940 is 4

2. Where do I get the detailed procedure to find GCD of 528, 476, 292, 940?

You can find a detailed procedure to find GCD of 528, 476, 292, 940 on our page.

3. How to find GCD of 528, 476, 292, 940 on a calculator?

You can find the GCD of 528, 476, 292, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.