GCD of 490, 737, 48, 978 Calculator

Given Input numbers are 490, 737, 48, 978

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 490, 737, 48, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 737, 48, 978 is 1.

Therefore, GCD of numbers 490, 737, 48, 978 is 1

Given Input Data is 490, 737, 48, 978

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 737 is 11 x 67

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(490, 737) = 361130

GCD(490, 737) = ( 490 x 737 ) / 361130

GCD(490, 737) = 361130 / 361130

GCD(490, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 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 490, 737, 48, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 453, 87, 971
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• GCD of 999, 894, 16, 245
• GCD of 775, 609, 84, 496

1. What is the GCD of 490, 737, 48, 978?

GCD of 490, 737, 48, 978 is 1

2. Where do I get the detailed procedure to find GCD of 490, 737, 48, 978?

You can find a detailed procedure to find GCD of 490, 737, 48, 978 on our page.

3. How to find GCD of 490, 737, 48, 978 on a calculator?

You can find the GCD of 490, 737, 48, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.