GCD of 874, 670, 34, 432 Calculator

Given Input numbers are 874, 670, 34, 432

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

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 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 874, 670, 34, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 670, 34, 432 is 2.

Therefore, GCD of numbers 874, 670, 34, 432 is 2

Given Input Data is 874, 670, 34, 432

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 34 is 2 x 17

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 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(874, 670) = 292790

GCD(874, 670) = ( 874 x 670 ) / 292790

GCD(874, 670) = 585580 / 292790

GCD(874, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

GCD of 874, 670, 34, 432 is 2

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• GCD of 463, 408, 54, 930
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• GCD of 876, 786, 17, 933

1. What is the GCD of 874, 670, 34, 432?

GCD of 874, 670, 34, 432 is 2

2. Where do I get the detailed procedure to find GCD of 874, 670, 34, 432?

You can find a detailed procedure to find GCD of 874, 670, 34, 432 on our page.

3. How to find GCD of 874, 670, 34, 432 on a calculator?

You can find the GCD of 874, 670, 34, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.