GCD of 23, 535, 743, 948 Calculator

Given Input numbers are 23, 535, 743, 948

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

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

Greatest Common Divisior

We found the divisors of 23, 535, 743, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 535, 743, 948 is 1.

Therefore, GCD of numbers 23, 535, 743, 948 is 1

Given Input Data is 23, 535, 743, 948

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

Prime Factorization of 23 is 23

Prime Factorization of 535 is 5 x 107

Prime Factorization of 743 is 743

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

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(23, 535) = 12305

GCD(23, 535) = ( 23 x 535 ) / 12305

GCD(23, 535) = 12305 / 12305

GCD(23, 535) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

Step3:

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

GCD of 23, 535, 743, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 778, 789, 827
• GCD of 37, 470, 110, 986
• GCD of 53, 394, 944, 566
• GCD of 45, 114, 131, 999
• GCD of 53, 994, 229, 580

1. What is the GCD of 23, 535, 743, 948?

GCD of 23, 535, 743, 948 is 1

2. Where do I get the detailed procedure to find GCD of 23, 535, 743, 948?

You can find a detailed procedure to find GCD of 23, 535, 743, 948 on our page.

3. How to find GCD of 23, 535, 743, 948 on a calculator?

You can find the GCD of 23, 535, 743, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.