GCD of 652, 930, 352, 450 Calculator

Given Input numbers are 652, 930, 352, 450

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 652, 930, 352, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 930, 352, 450 is 2.

Therefore, GCD of numbers 652, 930, 352, 450 is 2

Given Input Data is 652, 930, 352, 450

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(652, 930) = 303180

GCD(652, 930) = ( 652 x 930 ) / 303180

GCD(652, 930) = 606360 / 303180

GCD(652, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 352

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

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

GCD(2, 352) = 704 / 352

GCD(2, 352) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 2

GCD of 652, 930, 352, 450 is 2

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1. What is the GCD of 652, 930, 352, 450?

GCD of 652, 930, 352, 450 is 2

2. Where do I get the detailed procedure to find GCD of 652, 930, 352, 450?

You can find a detailed procedure to find GCD of 652, 930, 352, 450 on our page.

3. How to find GCD of 652, 930, 352, 450 on a calculator?

You can find the GCD of 652, 930, 352, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.