GCD of 264, 846, 661, 730 Calculator

Given Input numbers are 264, 846, 661, 730

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 264, 846, 661, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 846, 661, 730 is 1.

Therefore, GCD of numbers 264, 846, 661, 730 is 1

Given Input Data is 264, 846, 661, 730

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 661 is 661

Prime Factorization of 730 is 2 x 5 x 73

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(264, 846) = 37224

GCD(264, 846) = ( 264 x 846 ) / 37224

GCD(264, 846) = 223344 / 37224

GCD(264, 846) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 661

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

LCM(6, 661) = 3966

GCD(6, 661) = ( 6 x 661 ) / 3966

GCD(6, 661) = 3966 / 3966

GCD(6, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 264, 846, 661, 730 is 1

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1. What is the GCD of 264, 846, 661, 730?

GCD of 264, 846, 661, 730 is 1

2. Where do I get the detailed procedure to find GCD of 264, 846, 661, 730?

You can find a detailed procedure to find GCD of 264, 846, 661, 730 on our page.

3. How to find GCD of 264, 846, 661, 730 on a calculator?

You can find the GCD of 264, 846, 661, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.