GCD of 826, 454, 684, 160 Calculator

Given Input numbers are 826, 454, 684, 160

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 826, 454, 684, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 454, 684, 160 is 2.

Therefore, GCD of numbers 826, 454, 684, 160 is 2

Given Input Data is 826, 454, 684, 160

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 454 is 2 x 227

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(826, 454) = 187502

GCD(826, 454) = ( 826 x 454 ) / 187502

GCD(826, 454) = 375004 / 187502

GCD(826, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 826, 454, 684, 160 is 2

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1. What is the GCD of 826, 454, 684, 160?

GCD of 826, 454, 684, 160 is 2

2. Where do I get the detailed procedure to find GCD of 826, 454, 684, 160?

You can find a detailed procedure to find GCD of 826, 454, 684, 160 on our page.

3. How to find GCD of 826, 454, 684, 160 on a calculator?

You can find the GCD of 826, 454, 684, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.