GCD of 354, 546, 98, 278 Calculator

Given Input numbers are 354, 546, 98, 278

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 354, 546, 98, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 546, 98, 278 is 2.

Therefore, GCD of numbers 354, 546, 98, 278 is 2

Given Input Data is 354, 546, 98, 278

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 278 is 2 x 139

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(354, 546) = 32214

GCD(354, 546) = ( 354 x 546 ) / 32214

GCD(354, 546) = 193284 / 32214

GCD(354, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 98

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

LCM(6, 98) = 294

GCD(6, 98) = ( 6 x 98 ) / 294

GCD(6, 98) = 588 / 294

GCD(6, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 278

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

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

GCD(2, 278) = 556 / 278

GCD(2, 278) = 2

GCD of 354, 546, 98, 278 is 2

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1. What is the GCD of 354, 546, 98, 278?

GCD of 354, 546, 98, 278 is 2

2. Where do I get the detailed procedure to find GCD of 354, 546, 98, 278?

You can find a detailed procedure to find GCD of 354, 546, 98, 278 on our page.

3. How to find GCD of 354, 546, 98, 278 on a calculator?

You can find the GCD of 354, 546, 98, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.