GCD of 70, 180, 858, 978 Calculator

Given Input numbers are 70, 180, 858, 978

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 70, 180, 858, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 180, 858, 978 is 2.

Therefore, GCD of numbers 70, 180, 858, 978 is 2

Given Input Data is 70, 180, 858, 978

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

Prime Factorization of 70 is 2 x 5 x 7

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 978 is 2 x 3 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(70, 180) = 1260

GCD(70, 180) = ( 70 x 180 ) / 1260

GCD(70, 180) = 12600 / 1260

GCD(70, 180) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 858

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

LCM(10, 858) = 4290

GCD(10, 858) = ( 10 x 858 ) / 4290

GCD(10, 858) = 8580 / 4290

GCD(10, 858) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

GCD of 70, 180, 858, 978 is 2

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• GCD of 32, 555, 523, 254
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• GCD of 73, 791, 911, 143

1. What is the GCD of 70, 180, 858, 978?

GCD of 70, 180, 858, 978 is 2

2. Where do I get the detailed procedure to find GCD of 70, 180, 858, 978?

You can find a detailed procedure to find GCD of 70, 180, 858, 978 on our page.

3. How to find GCD of 70, 180, 858, 978 on a calculator?

You can find the GCD of 70, 180, 858, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.