GCD of 892, 940, 476, 380 Calculator

Given Input numbers are 892, 940, 476, 380

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 892, 940, 476, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 940, 476, 380 is 4.

Therefore, GCD of numbers 892, 940, 476, 380 is 4

Given Input Data is 892, 940, 476, 380

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

Prime Factorization of 892 is 2 x 2 x 223

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

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(892, 940) = 209620

GCD(892, 940) = ( 892 x 940 ) / 209620

GCD(892, 940) = 838480 / 209620

GCD(892, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 476

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

LCM(4, 476) = 476

GCD(4, 476) = ( 4 x 476 ) / 476

GCD(4, 476) = 1904 / 476

GCD(4, 476) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 380

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

LCM(4, 380) = 380

GCD(4, 380) = ( 4 x 380 ) / 380

GCD(4, 380) = 1520 / 380

GCD(4, 380) = 4

GCD of 892, 940, 476, 380 is 4

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1. What is the GCD of 892, 940, 476, 380?

GCD of 892, 940, 476, 380 is 4

2. Where do I get the detailed procedure to find GCD of 892, 940, 476, 380?

You can find a detailed procedure to find GCD of 892, 940, 476, 380 on our page.

3. How to find GCD of 892, 940, 476, 380 on a calculator?

You can find the GCD of 892, 940, 476, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.