GCD of 975, 263, 948, 518 Calculator

Given Input numbers are 975, 263, 948, 518

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 975, 263, 948, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 263, 948, 518 is 1.

Therefore, GCD of numbers 975, 263, 948, 518 is 1

Given Input Data is 975, 263, 948, 518

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 263 is 263

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 518 is 2 x 7 x 37

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(975, 263) = 256425

GCD(975, 263) = ( 975 x 263 ) / 256425

GCD(975, 263) = 256425 / 256425

GCD(975, 263) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 975, 263, 948, 518 is 1

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1. What is the GCD of 975, 263, 948, 518?

GCD of 975, 263, 948, 518 is 1

2. Where do I get the detailed procedure to find GCD of 975, 263, 948, 518?

You can find a detailed procedure to find GCD of 975, 263, 948, 518 on our page.

3. How to find GCD of 975, 263, 948, 518 on a calculator?

You can find the GCD of 975, 263, 948, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.