GCD of 434, 182, 10, 548 Calculator

Given Input numbers are 434, 182, 10, 548

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 548

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

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 434, 182, 10, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 182, 10, 548 is 2.

Therefore, GCD of numbers 434, 182, 10, 548 is 2

Given Input Data is 434, 182, 10, 548

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 548 is 2 x 2 x 137

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(434, 182) = 5642

GCD(434, 182) = ( 434 x 182 ) / 5642

GCD(434, 182) = 78988 / 5642

GCD(434, 182) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 10

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

LCM(14, 10) = 70

GCD(14, 10) = ( 14 x 10 ) / 70

GCD(14, 10) = 140 / 70

GCD(14, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 548

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

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

GCD(2, 548) = 1096 / 548

GCD(2, 548) = 2

GCD of 434, 182, 10, 548 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 889, 40, 323
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• GCD of 220, 679, 39, 449
• GCD of 246, 478, 84, 607
• GCD of 904, 881, 73, 568

1. What is the GCD of 434, 182, 10, 548?

GCD of 434, 182, 10, 548 is 2

2. Where do I get the detailed procedure to find GCD of 434, 182, 10, 548?

You can find a detailed procedure to find GCD of 434, 182, 10, 548 on our page.

3. How to find GCD of 434, 182, 10, 548 on a calculator?

You can find the GCD of 434, 182, 10, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.