GCD of 245, 658, 504, 730 Calculator

Given Input numbers are 245, 658, 504, 730

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

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 245, 658, 504, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 658, 504, 730 is 1.

Therefore, GCD of numbers 245, 658, 504, 730 is 1

Given Input Data is 245, 658, 504, 730

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 730 is 2 x 5 x 73

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(245, 658) = 23030

GCD(245, 658) = ( 245 x 658 ) / 23030

GCD(245, 658) = 161210 / 23030

GCD(245, 658) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 504

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

LCM(7, 504) = 504

GCD(7, 504) = ( 7 x 504 ) / 504

GCD(7, 504) = 3528 / 504

GCD(7, 504) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 730

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

LCM(7, 730) = 5110

GCD(7, 730) = ( 7 x 730 ) / 5110

GCD(7, 730) = 5110 / 5110

GCD(7, 730) = 1

GCD of 245, 658, 504, 730 is 1

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1. What is the GCD of 245, 658, 504, 730?

GCD of 245, 658, 504, 730 is 1

2. Where do I get the detailed procedure to find GCD of 245, 658, 504, 730?

You can find a detailed procedure to find GCD of 245, 658, 504, 730 on our page.

3. How to find GCD of 245, 658, 504, 730 on a calculator?

You can find the GCD of 245, 658, 504, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.