GCD of 483, 553, 35, 414 Calculator

Given Input numbers are 483, 553, 35, 414

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

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 35

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

1, 5, 7, 35

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 483, 553, 35, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 553, 35, 414 is 1.

Therefore, GCD of numbers 483, 553, 35, 414 is 1

Given Input Data is 483, 553, 35, 414

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 553 is 7 x 79

Prime Factorization of 35 is 5 x 7

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(483, 553) = 38157

GCD(483, 553) = ( 483 x 553 ) / 38157

GCD(483, 553) = 267099 / 38157

GCD(483, 553) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 35

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

LCM(7, 35) = 35

GCD(7, 35) = ( 7 x 35 ) / 35

GCD(7, 35) = 245 / 35

GCD(7, 35) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 414

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

LCM(7, 414) = 2898

GCD(7, 414) = ( 7 x 414 ) / 2898

GCD(7, 414) = 2898 / 2898

GCD(7, 414) = 1

GCD of 483, 553, 35, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 483, 52, 175
• GCD of 412, 163, 31, 893
• GCD of 368, 771, 18, 759
• GCD of 517, 926, 60, 325
• GCD of 126, 464, 13, 484

1. What is the GCD of 483, 553, 35, 414?

GCD of 483, 553, 35, 414 is 1

2. Where do I get the detailed procedure to find GCD of 483, 553, 35, 414?

You can find a detailed procedure to find GCD of 483, 553, 35, 414 on our page.

3. How to find GCD of 483, 553, 35, 414 on a calculator?

You can find the GCD of 483, 553, 35, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.