GCD of 59, 948, 731, 143 Calculator

Given Input numbers are 59, 948, 731, 143

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 59, 948, 731, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 948, 731, 143 is 1.

Therefore, GCD of numbers 59, 948, 731, 143 is 1

Given Input Data is 59, 948, 731, 143

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

Prime Factorization of 59 is 59

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 143 is 11 x 13

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(59, 948) = 55932

GCD(59, 948) = ( 59 x 948 ) / 55932

GCD(59, 948) = 55932 / 55932

GCD(59, 948) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 59, 948, 731, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 908, 185, 651
• GCD of 91, 433, 566, 873
• GCD of 72, 472, 335, 840
• GCD of 43, 821, 595, 524
• GCD of 23, 493, 506, 559

1. What is the GCD of 59, 948, 731, 143?

GCD of 59, 948, 731, 143 is 1

2. Where do I get the detailed procedure to find GCD of 59, 948, 731, 143?

You can find a detailed procedure to find GCD of 59, 948, 731, 143 on our page.

3. How to find GCD of 59, 948, 731, 143 on a calculator?

You can find the GCD of 59, 948, 731, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.