GCD of 630, 302, 50, 148 Calculator

Given Input numbers are 630, 302, 50, 148

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 630, 302, 50, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 302, 50, 148 is 2.

Therefore, GCD of numbers 630, 302, 50, 148 is 2

Given Input Data is 630, 302, 50, 148

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 302 is 2 x 151

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 148 is 2 x 2 x 37

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(630, 302) = 95130

GCD(630, 302) = ( 630 x 302 ) / 95130

GCD(630, 302) = 190260 / 95130

GCD(630, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

GCD of 630, 302, 50, 148 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 142, 67, 691
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• GCD of 199, 362, 40, 487
• GCD of 806, 225, 85, 819

1. What is the GCD of 630, 302, 50, 148?

GCD of 630, 302, 50, 148 is 2

2. Where do I get the detailed procedure to find GCD of 630, 302, 50, 148?

You can find a detailed procedure to find GCD of 630, 302, 50, 148 on our page.

3. How to find GCD of 630, 302, 50, 148 on a calculator?

You can find the GCD of 630, 302, 50, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.