GCD of 345, 242, 94, 148 Calculator

Given Input numbers are 345, 242, 94, 148

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 345, 242, 94, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 242, 94, 148 is 1.

Therefore, GCD of numbers 345, 242, 94, 148 is 1

Given Input Data is 345, 242, 94, 148

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 94 is 2 x 47

Prime Factorization of 148 is 2 x 2 x 37

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(345, 242) = 83490

GCD(345, 242) = ( 345 x 242 ) / 83490

GCD(345, 242) = 83490 / 83490

GCD(345, 242) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 94

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

LCM(1, 94) = 94

GCD(1, 94) = ( 1 x 94 ) / 94

GCD(1, 94) = 94 / 94

GCD(1, 94) = 1

Step3:

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

GCD of 345, 242, 94, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 376, 86, 478
• GCD of 847, 118, 60, 472
• GCD of 150, 102, 75, 772
• GCD of 334, 673, 87, 352
• GCD of 841, 673, 48, 578

1. What is the GCD of 345, 242, 94, 148?

GCD of 345, 242, 94, 148 is 1

2. Where do I get the detailed procedure to find GCD of 345, 242, 94, 148?

You can find a detailed procedure to find GCD of 345, 242, 94, 148 on our page.

3. How to find GCD of 345, 242, 94, 148 on a calculator?

You can find the GCD of 345, 242, 94, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.