GCD of 734, 653, 497, 117 Calculator

Given Input numbers are 734, 653, 497, 117

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 497

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

1, 7, 71, 497

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 734, 653, 497, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 653, 497, 117 is 1.

Therefore, GCD of numbers 734, 653, 497, 117 is 1

Given Input Data is 734, 653, 497, 117

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 653 is 653

Prime Factorization of 497 is 7 x 71

Prime Factorization of 117 is 3 x 3 x 13

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(734, 653) = 479302

GCD(734, 653) = ( 734 x 653 ) / 479302

GCD(734, 653) = 479302 / 479302

GCD(734, 653) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 734, 653, 497, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 156, 295, 884
• GCD of 318, 463, 241, 585
• GCD of 226, 964, 754, 956
• GCD of 799, 988, 819, 924
• GCD of 480, 301, 845, 445

1. What is the GCD of 734, 653, 497, 117?

GCD of 734, 653, 497, 117 is 1

2. Where do I get the detailed procedure to find GCD of 734, 653, 497, 117?

You can find a detailed procedure to find GCD of 734, 653, 497, 117 on our page.

3. How to find GCD of 734, 653, 497, 117 on a calculator?

You can find the GCD of 734, 653, 497, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.