GCD of 978, 718, 59, 278 Calculator

Given Input numbers are 978, 718, 59, 278

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

Divisors of 978

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

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 59

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

1, 59

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 978, 718, 59, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 718, 59, 278 is 1.

Therefore, GCD of numbers 978, 718, 59, 278 is 1

Given Input Data is 978, 718, 59, 278

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 718 is 2 x 359

Prime Factorization of 59 is 59

Prime Factorization of 278 is 2 x 139

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(978, 718) = 351102

GCD(978, 718) = ( 978 x 718 ) / 351102

GCD(978, 718) = 702204 / 351102

GCD(978, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 978, 718, 59, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 709, 941, 76, 868
• GCD of 621, 314, 43, 784
• GCD of 456, 654, 51, 680
• GCD of 974, 481, 28, 150
• GCD of 493, 335, 35, 926

1. What is the GCD of 978, 718, 59, 278?

GCD of 978, 718, 59, 278 is 1

2. Where do I get the detailed procedure to find GCD of 978, 718, 59, 278?

You can find a detailed procedure to find GCD of 978, 718, 59, 278 on our page.

3. How to find GCD of 978, 718, 59, 278 on a calculator?

You can find the GCD of 978, 718, 59, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.