GCD of 742, 919, 633, 727 Calculator

Given Input numbers are 742, 919, 633, 727

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 919

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

1, 919

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 742, 919, 633, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 919, 633, 727 is 1.

Therefore, GCD of numbers 742, 919, 633, 727 is 1

Given Input Data is 742, 919, 633, 727

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 919 is 919

Prime Factorization of 633 is 3 x 211

Prime Factorization of 727 is 727

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(742, 919) = 681898

GCD(742, 919) = ( 742 x 919 ) / 681898

GCD(742, 919) = 681898 / 681898

GCD(742, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 742, 919, 633, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 281, 644, 726
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• GCD of 999, 764, 555, 907
• GCD of 539, 610, 649, 991
• GCD of 889, 227, 885, 557

1. What is the GCD of 742, 919, 633, 727?

GCD of 742, 919, 633, 727 is 1

2. Where do I get the detailed procedure to find GCD of 742, 919, 633, 727?

You can find a detailed procedure to find GCD of 742, 919, 633, 727 on our page.

3. How to find GCD of 742, 919, 633, 727 on a calculator?

You can find the GCD of 742, 919, 633, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.