GCD of 96, 147, 742, 454 Calculator

Given Input numbers are 96, 147, 742, 454

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 96, 147, 742, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 147, 742, 454 is 1.

Therefore, GCD of numbers 96, 147, 742, 454 is 1

Given Input Data is 96, 147, 742, 454

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 454 is 2 x 227

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(96, 147) = 4704

GCD(96, 147) = ( 96 x 147 ) / 4704

GCD(96, 147) = 14112 / 4704

GCD(96, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 96, 147, 742, 454 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 548, 103, 597
• GCD of 22, 640, 555, 213
• GCD of 60, 138, 389, 794
• GCD of 35, 677, 801, 662
• GCD of 22, 349, 459, 771

1. What is the GCD of 96, 147, 742, 454?

GCD of 96, 147, 742, 454 is 1

2. Where do I get the detailed procedure to find GCD of 96, 147, 742, 454?

You can find a detailed procedure to find GCD of 96, 147, 742, 454 on our page.

3. How to find GCD of 96, 147, 742, 454 on a calculator?

You can find the GCD of 96, 147, 742, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.