GCD of 742, 196, 504, 259 Calculator

Given Input numbers are 742, 196, 504, 259

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 742, 196, 504, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 196, 504, 259 is 7.

Therefore, GCD of numbers 742, 196, 504, 259 is 7

Given Input Data is 742, 196, 504, 259

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Prime Factorization of 259 is 7 x 37

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(742, 196) = 10388

GCD(742, 196) = ( 742 x 196 ) / 10388

GCD(742, 196) = 145432 / 10388

GCD(742, 196) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 504

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

LCM(14, 504) = 504

GCD(14, 504) = ( 14 x 504 ) / 504

GCD(14, 504) = 7056 / 504

GCD(14, 504) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 259

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

LCM(14, 259) = 518

GCD(14, 259) = ( 14 x 259 ) / 518

GCD(14, 259) = 3626 / 518

GCD(14, 259) = 7

GCD of 742, 196, 504, 259 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 995, 238, 126
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1. What is the GCD of 742, 196, 504, 259?

GCD of 742, 196, 504, 259 is 7

2. Where do I get the detailed procedure to find GCD of 742, 196, 504, 259?

You can find a detailed procedure to find GCD of 742, 196, 504, 259 on our page.

3. How to find GCD of 742, 196, 504, 259 on a calculator?

You can find the GCD of 742, 196, 504, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.