GCD of 784, 670, 74, 267 Calculator

Given Input numbers are 784, 670, 74, 267

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 784, 670, 74, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 670, 74, 267 is 1.

Therefore, GCD of numbers 784, 670, 74, 267 is 1

Given Input Data is 784, 670, 74, 267

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 74 is 2 x 37

Prime Factorization of 267 is 3 x 89

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(784, 670) = 262640

GCD(784, 670) = ( 784 x 670 ) / 262640

GCD(784, 670) = 525280 / 262640

GCD(784, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

GCD of 784, 670, 74, 267 is 1

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• GCD of 400, 756, 73, 503
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1. What is the GCD of 784, 670, 74, 267?

GCD of 784, 670, 74, 267 is 1

2. Where do I get the detailed procedure to find GCD of 784, 670, 74, 267?

You can find a detailed procedure to find GCD of 784, 670, 74, 267 on our page.

3. How to find GCD of 784, 670, 74, 267 on a calculator?

You can find the GCD of 784, 670, 74, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.