GCD of 35, 761, 100, 480 Calculator

Given Input numbers are 35, 761, 100, 480

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

Divisors of 35

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

1, 5, 7, 35

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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

Greatest Common Divisior

We found the divisors of 35, 761, 100, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 761, 100, 480 is 1.

Therefore, GCD of numbers 35, 761, 100, 480 is 1

Given Input Data is 35, 761, 100, 480

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 761 is 761

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

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(35, 761) = 26635

GCD(35, 761) = ( 35 x 761 ) / 26635

GCD(35, 761) = 26635 / 26635

GCD(35, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 35, 761, 100, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 515, 691, 497
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• GCD of 27, 467, 940, 694

1. What is the GCD of 35, 761, 100, 480?

GCD of 35, 761, 100, 480 is 1

2. Where do I get the detailed procedure to find GCD of 35, 761, 100, 480?

You can find a detailed procedure to find GCD of 35, 761, 100, 480 on our page.

3. How to find GCD of 35, 761, 100, 480 on a calculator?

You can find the GCD of 35, 761, 100, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.