GCD of 948, 734, 99, 294 Calculator

Given Input numbers are 948, 734, 99, 294

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 948, 734, 99, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 734, 99, 294 is 1.

Therefore, GCD of numbers 948, 734, 99, 294 is 1

Given Input Data is 948, 734, 99, 294

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 734 is 2 x 367

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 294 is 2 x 3 x 7 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(948, 734) = 347916

GCD(948, 734) = ( 948 x 734 ) / 347916

GCD(948, 734) = 695832 / 347916

GCD(948, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 948, 734, 99, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 460, 27, 143
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• GCD of 450, 316, 79, 943
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• GCD of 269, 786, 36, 998

1. What is the GCD of 948, 734, 99, 294?

GCD of 948, 734, 99, 294 is 1

2. Where do I get the detailed procedure to find GCD of 948, 734, 99, 294?

You can find a detailed procedure to find GCD of 948, 734, 99, 294 on our page.

3. How to find GCD of 948, 734, 99, 294 on a calculator?

You can find the GCD of 948, 734, 99, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.