GCD of 798, 770, 49, 537 Calculator

Given Input numbers are 798, 770, 49, 537

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 798, 770, 49, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 770, 49, 537 is 1.

Therefore, GCD of numbers 798, 770, 49, 537 is 1

Given Input Data is 798, 770, 49, 537

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 49 is 7 x 7

Prime Factorization of 537 is 3 x 179

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(798, 770) = 43890

GCD(798, 770) = ( 798 x 770 ) / 43890

GCD(798, 770) = 614460 / 43890

GCD(798, 770) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 49

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

LCM(14, 49) = 98

GCD(14, 49) = ( 14 x 49 ) / 98

GCD(14, 49) = 686 / 98

GCD(14, 49) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 537

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

LCM(7, 537) = 3759

GCD(7, 537) = ( 7 x 537 ) / 3759

GCD(7, 537) = 3759 / 3759

GCD(7, 537) = 1

GCD of 798, 770, 49, 537 is 1

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• GCD of 491, 644, 29, 214
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• GCD of 775, 256, 20, 808
• GCD of 359, 328, 18, 487

1. What is the GCD of 798, 770, 49, 537?

GCD of 798, 770, 49, 537 is 1

2. Where do I get the detailed procedure to find GCD of 798, 770, 49, 537?

You can find a detailed procedure to find GCD of 798, 770, 49, 537 on our page.

3. How to find GCD of 798, 770, 49, 537 on a calculator?

You can find the GCD of 798, 770, 49, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.