GCD of 753, 147, 14, 802 Calculator

Given Input numbers are 753, 147, 14, 802

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 753, 147, 14, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 147, 14, 802 is 1.

Therefore, GCD of numbers 753, 147, 14, 802 is 1

Given Input Data is 753, 147, 14, 802

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 802 is 2 x 401

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, 147) = 36897

GCD(753, 147) = ( 753 x 147 ) / 36897

GCD(753, 147) = 110691 / 36897

GCD(753, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 14

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

LCM(3, 14) = 42

GCD(3, 14) = ( 3 x 14 ) / 42

GCD(3, 14) = 42 / 42

GCD(3, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 753, 147, 14, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 581, 14, 817
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• GCD of 775, 606, 28, 368
• GCD of 591, 309, 93, 677
• GCD of 101, 663, 84, 649

1. What is the GCD of 753, 147, 14, 802?

GCD of 753, 147, 14, 802 is 1

2. Where do I get the detailed procedure to find GCD of 753, 147, 14, 802?

You can find a detailed procedure to find GCD of 753, 147, 14, 802 on our page.

3. How to find GCD of 753, 147, 14, 802 on a calculator?

You can find the GCD of 753, 147, 14, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.