GCD of 496, 340, 78, 351 Calculator

Given Input numbers are 496, 340, 78, 351

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 496, 340, 78, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 340, 78, 351 is 1.

Therefore, GCD of numbers 496, 340, 78, 351 is 1

Given Input Data is 496, 340, 78, 351

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(496, 340) = 42160

GCD(496, 340) = ( 496 x 340 ) / 42160

GCD(496, 340) = 168640 / 42160

GCD(496, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 351

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

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

GCD(2, 351) = 702 / 702

GCD(2, 351) = 1

GCD of 496, 340, 78, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 780, 60, 532
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• GCD of 510, 771, 98, 267

1. What is the GCD of 496, 340, 78, 351?

GCD of 496, 340, 78, 351 is 1

2. Where do I get the detailed procedure to find GCD of 496, 340, 78, 351?

You can find a detailed procedure to find GCD of 496, 340, 78, 351 on our page.

3. How to find GCD of 496, 340, 78, 351 on a calculator?

You can find the GCD of 496, 340, 78, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.