GCD of 680, 303, 35, 754 Calculator

Given Input numbers are 680, 303, 35, 754

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 680, 303, 35, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 303, 35, 754 is 1.

Therefore, GCD of numbers 680, 303, 35, 754 is 1

Given Input Data is 680, 303, 35, 754

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 303 is 3 x 101

Prime Factorization of 35 is 5 x 7

Prime Factorization of 754 is 2 x 13 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(680, 303) = 206040

GCD(680, 303) = ( 680 x 303 ) / 206040

GCD(680, 303) = 206040 / 206040

GCD(680, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 680, 303, 35, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 786, 22, 478
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1. What is the GCD of 680, 303, 35, 754?

GCD of 680, 303, 35, 754 is 1

2. Where do I get the detailed procedure to find GCD of 680, 303, 35, 754?

You can find a detailed procedure to find GCD of 680, 303, 35, 754 on our page.

3. How to find GCD of 680, 303, 35, 754 on a calculator?

You can find the GCD of 680, 303, 35, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.