GCD of 978, 705, 880, 128 Calculator

Given Input numbers are 978, 705, 880, 128

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 978, 705, 880, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 705, 880, 128 is 1.

Therefore, GCD of numbers 978, 705, 880, 128 is 1

Given Input Data is 978, 705, 880, 128

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 705 is 3 x 5 x 47

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 705) = 229830

GCD(978, 705) = ( 978 x 705 ) / 229830

GCD(978, 705) = 689490 / 229830

GCD(978, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 880

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

LCM(3, 880) = 2640

GCD(3, 880) = ( 3 x 880 ) / 2640

GCD(3, 880) = 2640 / 2640

GCD(3, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 978, 705, 880, 128 is 1

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1. What is the GCD of 978, 705, 880, 128?

GCD of 978, 705, 880, 128 is 1

2. Where do I get the detailed procedure to find GCD of 978, 705, 880, 128?

You can find a detailed procedure to find GCD of 978, 705, 880, 128 on our page.

3. How to find GCD of 978, 705, 880, 128 on a calculator?

You can find the GCD of 978, 705, 880, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.