GCD of 820, 374, 620, 316 Calculator

Given Input numbers are 820, 374, 620, 316

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 820, 374, 620, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 374, 620, 316 is 2.

Therefore, GCD of numbers 820, 374, 620, 316 is 2

Given Input Data is 820, 374, 620, 316

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 316 is 2 x 2 x 79

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(820, 374) = 153340

GCD(820, 374) = ( 820 x 374 ) / 153340

GCD(820, 374) = 306680 / 153340

GCD(820, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 620

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

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

GCD(2, 620) = 1240 / 620

GCD(2, 620) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 820, 374, 620, 316 is 2

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• GCD of 664, 434, 722, 119
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1. What is the GCD of 820, 374, 620, 316?

GCD of 820, 374, 620, 316 is 2

2. Where do I get the detailed procedure to find GCD of 820, 374, 620, 316?

You can find a detailed procedure to find GCD of 820, 374, 620, 316 on our page.

3. How to find GCD of 820, 374, 620, 316 on a calculator?

You can find the GCD of 820, 374, 620, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.