GCD of 497, 490, 74, 236 Calculator

Given Input numbers are 497, 490, 74, 236

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

Divisors of 497

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

1, 7, 71, 497

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 497, 490, 74, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 490, 74, 236 is 1.

Therefore, GCD of numbers 497, 490, 74, 236 is 1

Given Input Data is 497, 490, 74, 236

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 236 is 2 x 2 x 59

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(497, 490) = 34790

GCD(497, 490) = ( 497 x 490 ) / 34790

GCD(497, 490) = 243530 / 34790

GCD(497, 490) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 74

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

LCM(7, 74) = 518

GCD(7, 74) = ( 7 x 74 ) / 518

GCD(7, 74) = 518 / 518

GCD(7, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1

GCD of 497, 490, 74, 236 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 250, 81, 915
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• GCD of 651, 343, 61, 493
• GCD of 524, 528, 78, 507

1. What is the GCD of 497, 490, 74, 236?

GCD of 497, 490, 74, 236 is 1

2. Where do I get the detailed procedure to find GCD of 497, 490, 74, 236?

You can find a detailed procedure to find GCD of 497, 490, 74, 236 on our page.

3. How to find GCD of 497, 490, 74, 236 on a calculator?

You can find the GCD of 497, 490, 74, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.