GCD of 949, 749, 25, 513 Calculator

Given Input numbers are 949, 749, 25, 513

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 513

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

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

Greatest Common Divisior

We found the divisors of 949, 749, 25, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 749, 25, 513 is 1.

Therefore, GCD of numbers 949, 749, 25, 513 is 1

Given Input Data is 949, 749, 25, 513

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 749 is 7 x 107

Prime Factorization of 25 is 5 x 5

Prime Factorization of 513 is 3 x 3 x 3 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(949, 749) = 710801

GCD(949, 749) = ( 949 x 749 ) / 710801

GCD(949, 749) = 710801 / 710801

GCD(949, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 949, 749, 25, 513 is 1

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1. What is the GCD of 949, 749, 25, 513?

GCD of 949, 749, 25, 513 is 1

2. Where do I get the detailed procedure to find GCD of 949, 749, 25, 513?

You can find a detailed procedure to find GCD of 949, 749, 25, 513 on our page.

3. How to find GCD of 949, 749, 25, 513 on a calculator?

You can find the GCD of 949, 749, 25, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.