GCD of 753, 708, 698, 224 Calculator

Given Input numbers are 753, 708, 698, 224

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 753, 708, 698, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 708, 698, 224 is 1.

Therefore, GCD of numbers 753, 708, 698, 224 is 1

Given Input Data is 753, 708, 698, 224

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 698 is 2 x 349

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(753, 708) = 177708

GCD(753, 708) = ( 753 x 708 ) / 177708

GCD(753, 708) = 533124 / 177708

GCD(753, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 753, 708, 698, 224 is 1

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• GCD of 342, 442, 374, 899
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• GCD of 803, 155, 221, 787

1. What is the GCD of 753, 708, 698, 224?

GCD of 753, 708, 698, 224 is 1

2. Where do I get the detailed procedure to find GCD of 753, 708, 698, 224?

You can find a detailed procedure to find GCD of 753, 708, 698, 224 on our page.

3. How to find GCD of 753, 708, 698, 224 on a calculator?

You can find the GCD of 753, 708, 698, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.