GCD of 268, 767, 832, 540 Calculator

Given Input numbers are 268, 767, 832, 540

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 268, 767, 832, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 767, 832, 540 is 1.

Therefore, GCD of numbers 268, 767, 832, 540 is 1

Given Input Data is 268, 767, 832, 540

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 767 is 13 x 59

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(268, 767) = 205556

GCD(268, 767) = ( 268 x 767 ) / 205556

GCD(268, 767) = 205556 / 205556

GCD(268, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 268, 767, 832, 540 is 1

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1. What is the GCD of 268, 767, 832, 540?

GCD of 268, 767, 832, 540 is 1

2. Where do I get the detailed procedure to find GCD of 268, 767, 832, 540?

You can find a detailed procedure to find GCD of 268, 767, 832, 540 on our page.

3. How to find GCD of 268, 767, 832, 540 on a calculator?

You can find the GCD of 268, 767, 832, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.