GCD of 676, 160, 492, 860 Calculator

Given Input numbers are 676, 160, 492, 860

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 676, 160, 492, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 160, 492, 860 is 4.

Therefore, GCD of numbers 676, 160, 492, 860 is 4

Given Input Data is 676, 160, 492, 860

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 860 is 2 x 2 x 5 x 43

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(676, 160) = 27040

GCD(676, 160) = ( 676 x 160 ) / 27040

GCD(676, 160) = 108160 / 27040

GCD(676, 160) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 492

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

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

GCD(4, 492) = 1968 / 492

GCD(4, 492) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 860

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

LCM(4, 860) = 860

GCD(4, 860) = ( 4 x 860 ) / 860

GCD(4, 860) = 3440 / 860

GCD(4, 860) = 4

GCD of 676, 160, 492, 860 is 4

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1. What is the GCD of 676, 160, 492, 860?

GCD of 676, 160, 492, 860 is 4

2. Where do I get the detailed procedure to find GCD of 676, 160, 492, 860?

You can find a detailed procedure to find GCD of 676, 160, 492, 860 on our page.

3. How to find GCD of 676, 160, 492, 860 on a calculator?

You can find the GCD of 676, 160, 492, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.