GCD of 747, 354, 862, 864 Calculator

Given Input numbers are 747, 354, 862, 864

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

Divisors of 747

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

1, 3, 9, 83, 249, 747

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 747, 354, 862, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 354, 862, 864 is 1.

Therefore, GCD of numbers 747, 354, 862, 864 is 1

Given Input Data is 747, 354, 862, 864

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 862 is 2 x 431

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(747, 354) = 88146

GCD(747, 354) = ( 747 x 354 ) / 88146

GCD(747, 354) = 264438 / 88146

GCD(747, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 862

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

LCM(3, 862) = 2586

GCD(3, 862) = ( 3 x 862 ) / 2586

GCD(3, 862) = 2586 / 2586

GCD(3, 862) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 747, 354, 862, 864 is 1

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1. What is the GCD of 747, 354, 862, 864?

GCD of 747, 354, 862, 864 is 1

2. Where do I get the detailed procedure to find GCD of 747, 354, 862, 864?

You can find a detailed procedure to find GCD of 747, 354, 862, 864 on our page.

3. How to find GCD of 747, 354, 862, 864 on a calculator?

You can find the GCD of 747, 354, 862, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.