GCD of 72, 895, 103, 978 Calculator

Given Input numbers are 72, 895, 103, 978

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 72, 895, 103, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 895, 103, 978 is 1.

Therefore, GCD of numbers 72, 895, 103, 978 is 1

Given Input Data is 72, 895, 103, 978

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 895 is 5 x 179

Prime Factorization of 103 is 103

Prime Factorization of 978 is 2 x 3 x 163

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(72, 895) = 64440

GCD(72, 895) = ( 72 x 895 ) / 64440

GCD(72, 895) = 64440 / 64440

GCD(72, 895) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 72, 895, 103, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 326, 576, 159
• GCD of 92, 876, 361, 817
• GCD of 18, 584, 390, 965
• GCD of 81, 564, 972, 493
• GCD of 97, 420, 346, 834

1. What is the GCD of 72, 895, 103, 978?

GCD of 72, 895, 103, 978 is 1

2. Where do I get the detailed procedure to find GCD of 72, 895, 103, 978?

You can find a detailed procedure to find GCD of 72, 895, 103, 978 on our page.

3. How to find GCD of 72, 895, 103, 978 on a calculator?

You can find the GCD of 72, 895, 103, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.