GCD of 340, 632, 874, 576 Calculator

Given Input numbers are 340, 632, 874, 576

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 340, 632, 874, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 632, 874, 576 is 2.

Therefore, GCD of numbers 340, 632, 874, 576 is 2

Given Input Data is 340, 632, 874, 576

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(340, 632) = 53720

GCD(340, 632) = ( 340 x 632 ) / 53720

GCD(340, 632) = 214880 / 53720

GCD(340, 632) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 874

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

LCM(4, 874) = 1748

GCD(4, 874) = ( 4 x 874 ) / 1748

GCD(4, 874) = 3496 / 1748

GCD(4, 874) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 340, 632, 874, 576 is 2

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1. What is the GCD of 340, 632, 874, 576?

GCD of 340, 632, 874, 576 is 2

2. Where do I get the detailed procedure to find GCD of 340, 632, 874, 576?

You can find a detailed procedure to find GCD of 340, 632, 874, 576 on our page.

3. How to find GCD of 340, 632, 874, 576 on a calculator?

You can find the GCD of 340, 632, 874, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.