GCD of 741, 676, 70, 506 Calculator

Given Input numbers are 741, 676, 70, 506

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

Divisors of 741

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

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 741, 676, 70, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 676, 70, 506 is 1.

Therefore, GCD of numbers 741, 676, 70, 506 is 1

Given Input Data is 741, 676, 70, 506

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 506 is 2 x 11 x 23

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(741, 676) = 38532

GCD(741, 676) = ( 741 x 676 ) / 38532

GCD(741, 676) = 500916 / 38532

GCD(741, 676) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 70

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

LCM(13, 70) = 910

GCD(13, 70) = ( 13 x 70 ) / 910

GCD(13, 70) = 910 / 910

GCD(13, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 741, 676, 70, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 694, 85, 800
• GCD of 419, 774, 24, 951
• GCD of 875, 866, 45, 228
• GCD of 882, 135, 13, 309
• GCD of 611, 279, 12, 592

1. What is the GCD of 741, 676, 70, 506?

GCD of 741, 676, 70, 506 is 1

2. Where do I get the detailed procedure to find GCD of 741, 676, 70, 506?

You can find a detailed procedure to find GCD of 741, 676, 70, 506 on our page.

3. How to find GCD of 741, 676, 70, 506 on a calculator?

You can find the GCD of 741, 676, 70, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.