GCD of 820, 672, 965, 474 Calculator

Given Input numbers are 820, 672, 965, 474

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 820, 672, 965, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 672, 965, 474 is 1.

Therefore, GCD of numbers 820, 672, 965, 474 is 1

Given Input Data is 820, 672, 965, 474

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 965 is 5 x 193

Prime Factorization of 474 is 2 x 3 x 79

The above numbers do not have any common prime factor. So GCD is 1

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, 672) = 137760

GCD(820, 672) = ( 820 x 672 ) / 137760

GCD(820, 672) = 551040 / 137760

GCD(820, 672) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 965

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

LCM(4, 965) = 3860

GCD(4, 965) = ( 4 x 965 ) / 3860

GCD(4, 965) = 3860 / 3860

GCD(4, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 820, 672, 965, 474 is 1

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1. What is the GCD of 820, 672, 965, 474?

GCD of 820, 672, 965, 474 is 1

2. Where do I get the detailed procedure to find GCD of 820, 672, 965, 474?

You can find a detailed procedure to find GCD of 820, 672, 965, 474 on our page.

3. How to find GCD of 820, 672, 965, 474 on a calculator?

You can find the GCD of 820, 672, 965, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.