GCD of 20, 746, 202, 832 Calculator

Given Input numbers are 20, 746, 202, 832

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Greatest Common Divisior

We found the divisors of 20, 746, 202, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 746, 202, 832 is 2.

Therefore, GCD of numbers 20, 746, 202, 832 is 2

Given Input Data is 20, 746, 202, 832

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 746 is 2 x 373

Prime Factorization of 202 is 2 x 101

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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(20, 746) = 7460

GCD(20, 746) = ( 20 x 746 ) / 7460

GCD(20, 746) = 14920 / 7460

GCD(20, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 832

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

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

GCD(2, 832) = 1664 / 832

GCD(2, 832) = 2

GCD of 20, 746, 202, 832 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 335, 304, 293
• GCD of 11, 333, 609, 340
• GCD of 99, 841, 582, 271
• GCD of 69, 467, 649, 234
• GCD of 74, 272, 334, 737

1. What is the GCD of 20, 746, 202, 832?

GCD of 20, 746, 202, 832 is 2

2. Where do I get the detailed procedure to find GCD of 20, 746, 202, 832?

You can find a detailed procedure to find GCD of 20, 746, 202, 832 on our page.

3. How to find GCD of 20, 746, 202, 832 on a calculator?

You can find the GCD of 20, 746, 202, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.