GCD of 357, 520, 45, 514 Calculator

Given Input numbers are 357, 520, 45, 514

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 357, 520, 45, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 520, 45, 514 is 1.

Therefore, GCD of numbers 357, 520, 45, 514 is 1

Given Input Data is 357, 520, 45, 514

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 514 is 2 x 257

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(357, 520) = 185640

GCD(357, 520) = ( 357 x 520 ) / 185640

GCD(357, 520) = 185640 / 185640

GCD(357, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 357, 520, 45, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 915, 85, 619
• GCD of 566, 211, 83, 192
• GCD of 832, 352, 20, 704
• GCD of 947, 686, 20, 549
• GCD of 488, 958, 72, 938

1. What is the GCD of 357, 520, 45, 514?

GCD of 357, 520, 45, 514 is 1

2. Where do I get the detailed procedure to find GCD of 357, 520, 45, 514?

You can find a detailed procedure to find GCD of 357, 520, 45, 514 on our page.

3. How to find GCD of 357, 520, 45, 514 on a calculator?

You can find the GCD of 357, 520, 45, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.