GCD of 757, 540, 761, 743 Calculator

Given Input numbers are 757, 540, 761, 743

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

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 757, 540, 761, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 540, 761, 743 is 1.

Therefore, GCD of numbers 757, 540, 761, 743 is 1

Given Input Data is 757, 540, 761, 743

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

Prime Factorization of 757 is 757

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

Prime Factorization of 761 is 761

Prime Factorization of 743 is 743

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(757, 540) = 408780

GCD(757, 540) = ( 757 x 540 ) / 408780

GCD(757, 540) = 408780 / 408780

GCD(757, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 757, 540, 761, 743 is 1

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1. What is the GCD of 757, 540, 761, 743?

GCD of 757, 540, 761, 743 is 1

2. Where do I get the detailed procedure to find GCD of 757, 540, 761, 743?

You can find a detailed procedure to find GCD of 757, 540, 761, 743 on our page.

3. How to find GCD of 757, 540, 761, 743 on a calculator?

You can find the GCD of 757, 540, 761, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.