GCD of 67, 144, 672, 418 Calculator

Given Input numbers are 67, 144, 672, 418

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 67, 144, 672, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 144, 672, 418 is 1.

Therefore, GCD of numbers 67, 144, 672, 418 is 1

Given Input Data is 67, 144, 672, 418

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

Prime Factorization of 67 is 67

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 418 is 2 x 11 x 19

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(67, 144) = 9648

GCD(67, 144) = ( 67 x 144 ) / 9648

GCD(67, 144) = 9648 / 9648

GCD(67, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 67, 144, 672, 418 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 797, 815, 579
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• GCD of 28, 769, 931, 160
• GCD of 55, 645, 211, 965

1. What is the GCD of 67, 144, 672, 418?

GCD of 67, 144, 672, 418 is 1

2. Where do I get the detailed procedure to find GCD of 67, 144, 672, 418?

You can find a detailed procedure to find GCD of 67, 144, 672, 418 on our page.

3. How to find GCD of 67, 144, 672, 418 on a calculator?

You can find the GCD of 67, 144, 672, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.