GCD of 154, 724, 984, 303 Calculator

Given Input numbers are 154, 724, 984, 303

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 154, 724, 984, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 724, 984, 303 is 1.

Therefore, GCD of numbers 154, 724, 984, 303 is 1

Given Input Data is 154, 724, 984, 303

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 303 is 3 x 101

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(154, 724) = 55748

GCD(154, 724) = ( 154 x 724 ) / 55748

GCD(154, 724) = 111496 / 55748

GCD(154, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 303

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

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

GCD(2, 303) = 606 / 606

GCD(2, 303) = 1

GCD of 154, 724, 984, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 704, 734, 681
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• GCD of 203, 299, 714, 248
• GCD of 418, 464, 947, 758
• GCD of 182, 527, 516, 668

1. What is the GCD of 154, 724, 984, 303?

GCD of 154, 724, 984, 303 is 1

2. Where do I get the detailed procedure to find GCD of 154, 724, 984, 303?

You can find a detailed procedure to find GCD of 154, 724, 984, 303 on our page.

3. How to find GCD of 154, 724, 984, 303 on a calculator?

You can find the GCD of 154, 724, 984, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.