GCD of 707, 540, 838, 741 Calculator

Given Input numbers are 707, 540, 838, 741

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 707, 540, 838, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 540, 838, 741 is 1.

Therefore, GCD of numbers 707, 540, 838, 741 is 1

Given Input Data is 707, 540, 838, 741

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

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 741 is 3 x 13 x 19

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(707, 540) = 381780

GCD(707, 540) = ( 707 x 540 ) / 381780

GCD(707, 540) = 381780 / 381780

GCD(707, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 707, 540, 838, 741 is 1

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1. What is the GCD of 707, 540, 838, 741?

GCD of 707, 540, 838, 741 is 1

2. Where do I get the detailed procedure to find GCD of 707, 540, 838, 741?

You can find a detailed procedure to find GCD of 707, 540, 838, 741 on our page.

3. How to find GCD of 707, 540, 838, 741 on a calculator?

You can find the GCD of 707, 540, 838, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.