GCD of 67, 387, 456, 704 Calculator

Given Input numbers are 67, 387, 456, 704

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 67, 387, 456, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 387, 456, 704 is 1.

Therefore, GCD of numbers 67, 387, 456, 704 is 1

Given Input Data is 67, 387, 456, 704

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

Prime Factorization of 67 is 67

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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, 387) = 25929

GCD(67, 387) = ( 67 x 387 ) / 25929

GCD(67, 387) = 25929 / 25929

GCD(67, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 67, 387, 456, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 101, 551, 341
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• GCD of 99, 711, 242, 488

1. What is the GCD of 67, 387, 456, 704?

GCD of 67, 387, 456, 704 is 1

2. Where do I get the detailed procedure to find GCD of 67, 387, 456, 704?

You can find a detailed procedure to find GCD of 67, 387, 456, 704 on our page.

3. How to find GCD of 67, 387, 456, 704 on a calculator?

You can find the GCD of 67, 387, 456, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.