GCD of 548, 342, 610, 762 Calculator

Given Input numbers are 548, 342, 610, 762

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 548, 342, 610, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 342, 610, 762 is 2.

Therefore, GCD of numbers 548, 342, 610, 762 is 2

Given Input Data is 548, 342, 610, 762

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 762 is 2 x 3 x 127

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(548, 342) = 93708

GCD(548, 342) = ( 548 x 342 ) / 93708

GCD(548, 342) = 187416 / 93708

GCD(548, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

GCD of 548, 342, 610, 762 is 2

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1. What is the GCD of 548, 342, 610, 762?

GCD of 548, 342, 610, 762 is 2

2. Where do I get the detailed procedure to find GCD of 548, 342, 610, 762?

You can find a detailed procedure to find GCD of 548, 342, 610, 762 on our page.

3. How to find GCD of 548, 342, 610, 762 on a calculator?

You can find the GCD of 548, 342, 610, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.