GCD of 123, 101, 148, 278 Calculator

Given Input numbers are 123, 101, 148, 278

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 123, 101, 148, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 101, 148, 278 is 1.

Therefore, GCD of numbers 123, 101, 148, 278 is 1

Given Input Data is 123, 101, 148, 278

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 101 is 101

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 278 is 2 x 139

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(123, 101) = 12423

GCD(123, 101) = ( 123 x 101 ) / 12423

GCD(123, 101) = 12423 / 12423

GCD(123, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 123, 101, 148, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 894, 916, 418
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• GCD of 912, 644, 690, 997
• GCD of 814, 919, 365, 183
• GCD of 256, 959, 435, 602

1. What is the GCD of 123, 101, 148, 278?

GCD of 123, 101, 148, 278 is 1

2. Where do I get the detailed procedure to find GCD of 123, 101, 148, 278?

You can find a detailed procedure to find GCD of 123, 101, 148, 278 on our page.

3. How to find GCD of 123, 101, 148, 278 on a calculator?

You can find the GCD of 123, 101, 148, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.