GCD of 351, 700, 747, 828 Calculator

Given Input numbers are 351, 700, 747, 828

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 351, 700, 747, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 700, 747, 828 is 1.

Therefore, GCD of numbers 351, 700, 747, 828 is 1

Given Input Data is 351, 700, 747, 828

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(351, 700) = 245700

GCD(351, 700) = ( 351 x 700 ) / 245700

GCD(351, 700) = 245700 / 245700

GCD(351, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 351, 700, 747, 828 is 1

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1. What is the GCD of 351, 700, 747, 828?

GCD of 351, 700, 747, 828 is 1

2. Where do I get the detailed procedure to find GCD of 351, 700, 747, 828?

You can find a detailed procedure to find GCD of 351, 700, 747, 828 on our page.

3. How to find GCD of 351, 700, 747, 828 on a calculator?

You can find the GCD of 351, 700, 747, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.