GCD of 675, 936, 49, 978 Calculator

Given Input numbers are 675, 936, 49, 978

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 675, 936, 49, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 936, 49, 978 is 1.

Therefore, GCD of numbers 675, 936, 49, 978 is 1

Given Input Data is 675, 936, 49, 978

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 49 is 7 x 7

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(675, 936) = 70200

GCD(675, 936) = ( 675 x 936 ) / 70200

GCD(675, 936) = 631800 / 70200

GCD(675, 936) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 49

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

LCM(9, 49) = 441

GCD(9, 49) = ( 9 x 49 ) / 441

GCD(9, 49) = 441 / 441

GCD(9, 49) = 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 675, 936, 49, 978 is 1

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1. What is the GCD of 675, 936, 49, 978?

GCD of 675, 936, 49, 978 is 1

2. Where do I get the detailed procedure to find GCD of 675, 936, 49, 978?

You can find a detailed procedure to find GCD of 675, 936, 49, 978 on our page.

3. How to find GCD of 675, 936, 49, 978 on a calculator?

You can find the GCD of 675, 936, 49, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.