GCD of 756, 350, 704, 221 Calculator

Given Input numbers are 756, 350, 704, 221

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 756, 350, 704, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 350, 704, 221 is 1.

Therefore, GCD of numbers 756, 350, 704, 221 is 1

Given Input Data is 756, 350, 704, 221

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 221 is 13 x 17

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(756, 350) = 18900

GCD(756, 350) = ( 756 x 350 ) / 18900

GCD(756, 350) = 264600 / 18900

GCD(756, 350) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 704

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

LCM(14, 704) = 4928

GCD(14, 704) = ( 14 x 704 ) / 4928

GCD(14, 704) = 9856 / 4928

GCD(14, 704) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 756, 350, 704, 221 is 1

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1. What is the GCD of 756, 350, 704, 221?

GCD of 756, 350, 704, 221 is 1

2. Where do I get the detailed procedure to find GCD of 756, 350, 704, 221?

You can find a detailed procedure to find GCD of 756, 350, 704, 221 on our page.

3. How to find GCD of 756, 350, 704, 221 on a calculator?

You can find the GCD of 756, 350, 704, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.