GCD of 52, 960, 700, 609 Calculator

Given Input numbers are 52, 960, 700, 609

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 52, 960, 700, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 960, 700, 609 is 1.

Therefore, GCD of numbers 52, 960, 700, 609 is 1

Given Input Data is 52, 960, 700, 609

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 609 is 3 x 7 x 29

The above numbers do not have any common prime factor. So GCD is 1

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(52, 960) = 12480

GCD(52, 960) = ( 52 x 960 ) / 12480

GCD(52, 960) = 49920 / 12480

GCD(52, 960) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 700

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

LCM(4, 700) = 700

GCD(4, 700) = ( 4 x 700 ) / 700

GCD(4, 700) = 2800 / 700

GCD(4, 700) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 609

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

LCM(4, 609) = 2436

GCD(4, 609) = ( 4 x 609 ) / 2436

GCD(4, 609) = 2436 / 2436

GCD(4, 609) = 1

GCD of 52, 960, 700, 609 is 1

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• GCD of 79, 236, 802, 721
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1. What is the GCD of 52, 960, 700, 609?

GCD of 52, 960, 700, 609 is 1

2. Where do I get the detailed procedure to find GCD of 52, 960, 700, 609?

You can find a detailed procedure to find GCD of 52, 960, 700, 609 on our page.

3. How to find GCD of 52, 960, 700, 609 on a calculator?

You can find the GCD of 52, 960, 700, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.