GCD of 749, 771, 90, 864 Calculator

Given Input numbers are 749, 771, 90, 864

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 749, 771, 90, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 771, 90, 864 is 1.

Therefore, GCD of numbers 749, 771, 90, 864 is 1

Given Input Data is 749, 771, 90, 864

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 771 is 3 x 257

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(749, 771) = 577479

GCD(749, 771) = ( 749 x 771 ) / 577479

GCD(749, 771) = 577479 / 577479

GCD(749, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 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 749, 771, 90, 864 is 1

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1. What is the GCD of 749, 771, 90, 864?

GCD of 749, 771, 90, 864 is 1

2. Where do I get the detailed procedure to find GCD of 749, 771, 90, 864?

You can find a detailed procedure to find GCD of 749, 771, 90, 864 on our page.

3. How to find GCD of 749, 771, 90, 864 on a calculator?

You can find the GCD of 749, 771, 90, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.