GCD of 513, 374, 45, 760 Calculator

Given Input numbers are 513, 374, 45, 760

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 513, 374, 45, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 374, 45, 760 is 1.

Therefore, GCD of numbers 513, 374, 45, 760 is 1

Given Input Data is 513, 374, 45, 760

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(513, 374) = 191862

GCD(513, 374) = ( 513 x 374 ) / 191862

GCD(513, 374) = 191862 / 191862

GCD(513, 374) = 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 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 513, 374, 45, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 678, 85, 627
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• GCD of 777, 303, 95, 787

1. What is the GCD of 513, 374, 45, 760?

GCD of 513, 374, 45, 760 is 1

2. Where do I get the detailed procedure to find GCD of 513, 374, 45, 760?

You can find a detailed procedure to find GCD of 513, 374, 45, 760 on our page.

3. How to find GCD of 513, 374, 45, 760 on a calculator?

You can find the GCD of 513, 374, 45, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.