GCD of 824, 742, 63, 757 Calculator

Given Input numbers are 824, 742, 63, 757

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 63

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

1, 3, 7, 9, 21, 63

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 824, 742, 63, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 742, 63, 757 is 1.

Therefore, GCD of numbers 824, 742, 63, 757 is 1

Given Input Data is 824, 742, 63, 757

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 757 is 757

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(824, 742) = 305704

GCD(824, 742) = ( 824 x 742 ) / 305704

GCD(824, 742) = 611408 / 305704

GCD(824, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 63

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

LCM(2, 63) = 126

GCD(2, 63) = ( 2 x 63 ) / 126

GCD(2, 63) = 126 / 126

GCD(2, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 824, 742, 63, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 698, 81, 757
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• GCD of 457, 618, 67, 487
• GCD of 639, 743, 88, 260

1. What is the GCD of 824, 742, 63, 757?

GCD of 824, 742, 63, 757 is 1

2. Where do I get the detailed procedure to find GCD of 824, 742, 63, 757?

You can find a detailed procedure to find GCD of 824, 742, 63, 757 on our page.

3. How to find GCD of 824, 742, 63, 757 on a calculator?

You can find the GCD of 824, 742, 63, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.