GCD of 480, 679, 35, 754 Calculator

Given Input numbers are 480, 679, 35, 754

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

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 480, 679, 35, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 679, 35, 754 is 1.

Therefore, GCD of numbers 480, 679, 35, 754 is 1

Given Input Data is 480, 679, 35, 754

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 679 is 7 x 97

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(480, 679) = 325920

GCD(480, 679) = ( 480 x 679 ) / 325920

GCD(480, 679) = 325920 / 325920

GCD(480, 679) = 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 480, 679, 35, 754 is 1

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• GCD of 982, 571, 61, 408
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1. What is the GCD of 480, 679, 35, 754?

GCD of 480, 679, 35, 754 is 1

2. Where do I get the detailed procedure to find GCD of 480, 679, 35, 754?

You can find a detailed procedure to find GCD of 480, 679, 35, 754 on our page.

3. How to find GCD of 480, 679, 35, 754 on a calculator?

You can find the GCD of 480, 679, 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.