GCD of 75, 618, 722, 497 Calculator

Given Input numbers are 75, 618, 722, 497

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 75, 618, 722, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 618, 722, 497 is 1.

Therefore, GCD of numbers 75, 618, 722, 497 is 1

Given Input Data is 75, 618, 722, 497

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 497 is 7 x 71

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(75, 618) = 15450

GCD(75, 618) = ( 75 x 618 ) / 15450

GCD(75, 618) = 46350 / 15450

GCD(75, 618) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 75, 618, 722, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 740, 541, 893
• GCD of 61, 178, 716, 196
• GCD of 81, 692, 363, 486
• GCD of 96, 446, 144, 662
• GCD of 53, 945, 541, 339

1. What is the GCD of 75, 618, 722, 497?

GCD of 75, 618, 722, 497 is 1

2. Where do I get the detailed procedure to find GCD of 75, 618, 722, 497?

You can find a detailed procedure to find GCD of 75, 618, 722, 497 on our page.

3. How to find GCD of 75, 618, 722, 497 on a calculator?

You can find the GCD of 75, 618, 722, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.