GCD of 980, 478, 144, 738 Calculator

Given Input numbers are 980, 478, 144, 738

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 980, 478, 144, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 478, 144, 738 is 2.

Therefore, GCD of numbers 980, 478, 144, 738 is 2

Given Input Data is 980, 478, 144, 738

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 478 is 2 x 239

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(980, 478) = 234220

GCD(980, 478) = ( 980 x 478 ) / 234220

GCD(980, 478) = 468440 / 234220

GCD(980, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 980, 478, 144, 738 is 2

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1. What is the GCD of 980, 478, 144, 738?

GCD of 980, 478, 144, 738 is 2

2. Where do I get the detailed procedure to find GCD of 980, 478, 144, 738?

You can find a detailed procedure to find GCD of 980, 478, 144, 738 on our page.

3. How to find GCD of 980, 478, 144, 738 on a calculator?

You can find the GCD of 980, 478, 144, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.