GCD of 115, 148, 74, 672 Calculator

Given Input numbers are 115, 148, 74, 672

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 115, 148, 74, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 148, 74, 672 is 1.

Therefore, GCD of numbers 115, 148, 74, 672 is 1

Given Input Data is 115, 148, 74, 672

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 74 is 2 x 37

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(115, 148) = 17020

GCD(115, 148) = ( 115 x 148 ) / 17020

GCD(115, 148) = 17020 / 17020

GCD(115, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 115, 148, 74, 672 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 555, 39, 203
• GCD of 194, 644, 13, 170
• GCD of 962, 744, 10, 409
• GCD of 552, 944, 42, 132
• GCD of 285, 394, 41, 494

1. What is the GCD of 115, 148, 74, 672?

GCD of 115, 148, 74, 672 is 1

2. Where do I get the detailed procedure to find GCD of 115, 148, 74, 672?

You can find a detailed procedure to find GCD of 115, 148, 74, 672 on our page.

3. How to find GCD of 115, 148, 74, 672 on a calculator?

You can find the GCD of 115, 148, 74, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.