GCD of 49, 874, 510, 692 Calculator

Given Input numbers are 49, 874, 510, 692

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

Divisors of 49

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

1, 7, 49

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 49, 874, 510, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 874, 510, 692 is 1.

Therefore, GCD of numbers 49, 874, 510, 692 is 1

Given Input Data is 49, 874, 510, 692

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 692 is 2 x 2 x 173

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(49, 874) = 42826

GCD(49, 874) = ( 49 x 874 ) / 42826

GCD(49, 874) = 42826 / 42826

GCD(49, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 49, 874, 510, 692 is 1

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1. What is the GCD of 49, 874, 510, 692?

GCD of 49, 874, 510, 692 is 1

2. Where do I get the detailed procedure to find GCD of 49, 874, 510, 692?

You can find a detailed procedure to find GCD of 49, 874, 510, 692 on our page.

3. How to find GCD of 49, 874, 510, 692 on a calculator?

You can find the GCD of 49, 874, 510, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.