GCD of 360, 978, 926, 274 Calculator

Given Input numbers are 360, 978, 926, 274

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 360, 978, 926, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 978, 926, 274 is 2.

Therefore, GCD of numbers 360, 978, 926, 274 is 2

Given Input Data is 360, 978, 926, 274

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 926 is 2 x 463

Prime Factorization of 274 is 2 x 137

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(360, 978) = 58680

GCD(360, 978) = ( 360 x 978 ) / 58680

GCD(360, 978) = 352080 / 58680

GCD(360, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 926

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

LCM(6, 926) = 2778

GCD(6, 926) = ( 6 x 926 ) / 2778

GCD(6, 926) = 5556 / 2778

GCD(6, 926) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

GCD of 360, 978, 926, 274 is 2

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• GCD of 710, 831, 904, 772
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1. What is the GCD of 360, 978, 926, 274?

GCD of 360, 978, 926, 274 is 2

2. Where do I get the detailed procedure to find GCD of 360, 978, 926, 274?

You can find a detailed procedure to find GCD of 360, 978, 926, 274 on our page.

3. How to find GCD of 360, 978, 926, 274 on a calculator?

You can find the GCD of 360, 978, 926, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.