GCD of 548, 148, 975, 915 Calculator

Given Input numbers are 548, 148, 975, 915

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 548, 148, 975, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 148, 975, 915 is 1.

Therefore, GCD of numbers 548, 148, 975, 915 is 1

Given Input Data is 548, 148, 975, 915

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 915 is 3 x 5 x 61

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(548, 148) = 20276

GCD(548, 148) = ( 548 x 148 ) / 20276

GCD(548, 148) = 81104 / 20276

GCD(548, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 975

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

LCM(4, 975) = 3900

GCD(4, 975) = ( 4 x 975 ) / 3900

GCD(4, 975) = 3900 / 3900

GCD(4, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 548, 148, 975, 915 is 1

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1. What is the GCD of 548, 148, 975, 915?

GCD of 548, 148, 975, 915 is 1

2. Where do I get the detailed procedure to find GCD of 548, 148, 975, 915?

You can find a detailed procedure to find GCD of 548, 148, 975, 915 on our page.

3. How to find GCD of 548, 148, 975, 915 on a calculator?

You can find the GCD of 548, 148, 975, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.