GCD of 48, 740, 180, 869 Calculator

Given Input numbers are 48, 740, 180, 869

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

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 48, 740, 180, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 740, 180, 869 is 1.

Therefore, GCD of numbers 48, 740, 180, 869 is 1

Given Input Data is 48, 740, 180, 869

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

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 869 is 11 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(48, 740) = 8880

GCD(48, 740) = ( 48 x 740 ) / 8880

GCD(48, 740) = 35520 / 8880

GCD(48, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 180

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

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

GCD(4, 180) = 720 / 180

GCD(4, 180) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 869

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

LCM(4, 869) = 3476

GCD(4, 869) = ( 4 x 869 ) / 3476

GCD(4, 869) = 3476 / 3476

GCD(4, 869) = 1

GCD of 48, 740, 180, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 519, 606, 958
• GCD of 68, 166, 411, 619
• GCD of 19, 994, 156, 387
• GCD of 77, 284, 903, 637
• GCD of 89, 105, 691, 796

1. What is the GCD of 48, 740, 180, 869?

GCD of 48, 740, 180, 869 is 1

2. Where do I get the detailed procedure to find GCD of 48, 740, 180, 869?

You can find a detailed procedure to find GCD of 48, 740, 180, 869 on our page.

3. How to find GCD of 48, 740, 180, 869 on a calculator?

You can find the GCD of 48, 740, 180, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.