GCD of 726, 760, 705, 103 Calculator

Given Input numbers are 726, 760, 705, 103

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 726, 760, 705, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 760, 705, 103 is 1.

Therefore, GCD of numbers 726, 760, 705, 103 is 1

Given Input Data is 726, 760, 705, 103

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 103 is 103

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(726, 760) = 275880

GCD(726, 760) = ( 726 x 760 ) / 275880

GCD(726, 760) = 551760 / 275880

GCD(726, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 726, 760, 705, 103 is 1

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1. What is the GCD of 726, 760, 705, 103?

GCD of 726, 760, 705, 103 is 1

2. Where do I get the detailed procedure to find GCD of 726, 760, 705, 103?

You can find a detailed procedure to find GCD of 726, 760, 705, 103 on our page.

3. How to find GCD of 726, 760, 705, 103 on a calculator?

You can find the GCD of 726, 760, 705, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.