GCD of 21, 735, 378, 497 Calculator

Given Input numbers are 21, 735, 378, 497

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 21, 735, 378, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 735, 378, 497 is 7.

Therefore, GCD of numbers 21, 735, 378, 497 is 7

Given Input Data is 21, 735, 378, 497

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 497 is 7 x 71

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(21, 735) = 735

GCD(21, 735) = ( 21 x 735 ) / 735

GCD(21, 735) = 15435 / 735

GCD(21, 735) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 378

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

LCM(21, 378) = 378

GCD(21, 378) = ( 21 x 378 ) / 378

GCD(21, 378) = 7938 / 378

GCD(21, 378) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 497

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

LCM(21, 497) = 1491

GCD(21, 497) = ( 21 x 497 ) / 1491

GCD(21, 497) = 10437 / 1491

GCD(21, 497) = 7

GCD of 21, 735, 378, 497 is 7

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• GCD of 90, 502, 930, 492
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• GCD of 98, 175, 761, 394

1. What is the GCD of 21, 735, 378, 497?

GCD of 21, 735, 378, 497 is 7

2. Where do I get the detailed procedure to find GCD of 21, 735, 378, 497?

You can find a detailed procedure to find GCD of 21, 735, 378, 497 on our page.

3. How to find GCD of 21, 735, 378, 497 on a calculator?

You can find the GCD of 21, 735, 378, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.