GCD of 147, 524, 48, 617 Calculator

Given Input numbers are 147, 524, 48, 617

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 147, 524, 48, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 524, 48, 617 is 1.

Therefore, GCD of numbers 147, 524, 48, 617 is 1

Given Input Data is 147, 524, 48, 617

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 617 is 617

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(147, 524) = 77028

GCD(147, 524) = ( 147 x 524 ) / 77028

GCD(147, 524) = 77028 / 77028

GCD(147, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 147, 524, 48, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 369, 42, 543
• GCD of 757, 770, 48, 482
• GCD of 528, 974, 12, 545
• GCD of 729, 359, 10, 587
• GCD of 864, 613, 14, 761

1. What is the GCD of 147, 524, 48, 617?

GCD of 147, 524, 48, 617 is 1

2. Where do I get the detailed procedure to find GCD of 147, 524, 48, 617?

You can find a detailed procedure to find GCD of 147, 524, 48, 617 on our page.

3. How to find GCD of 147, 524, 48, 617 on a calculator?

You can find the GCD of 147, 524, 48, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.