GCD of 743, 919, 63, 748 Calculator

Given Input numbers are 743, 919, 63, 748

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

Divisors of 743

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

1, 743

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 743, 919, 63, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 919, 63, 748 is 1.

Therefore, GCD of numbers 743, 919, 63, 748 is 1

Given Input Data is 743, 919, 63, 748

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

Prime Factorization of 743 is 743

Prime Factorization of 919 is 919

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(743, 919) = 682817

GCD(743, 919) = ( 743 x 919 ) / 682817

GCD(743, 919) = 682817 / 682817

GCD(743, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 743, 919, 63, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 220, 93, 170
• GCD of 111, 650, 53, 272
• GCD of 788, 549, 92, 395
• GCD of 417, 640, 96, 545
• GCD of 639, 921, 11, 710

1. What is the GCD of 743, 919, 63, 748?

GCD of 743, 919, 63, 748 is 1

2. Where do I get the detailed procedure to find GCD of 743, 919, 63, 748?

You can find a detailed procedure to find GCD of 743, 919, 63, 748 on our page.

3. How to find GCD of 743, 919, 63, 748 on a calculator?

You can find the GCD of 743, 919, 63, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.