GCD of 782, 622, 67, 310 Calculator

Given Input numbers are 782, 622, 67, 310

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 67

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

1, 67

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 782, 622, 67, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 622, 67, 310 is 1.

Therefore, GCD of numbers 782, 622, 67, 310 is 1

Given Input Data is 782, 622, 67, 310

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 622 is 2 x 311

Prime Factorization of 67 is 67

Prime Factorization of 310 is 2 x 5 x 31

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(782, 622) = 243202

GCD(782, 622) = ( 782 x 622 ) / 243202

GCD(782, 622) = 486404 / 243202

GCD(782, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 782, 622, 67, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 593, 79, 600
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• GCD of 237, 830, 45, 873
• GCD of 716, 604, 99, 773
• GCD of 789, 994, 42, 381

1. What is the GCD of 782, 622, 67, 310?

GCD of 782, 622, 67, 310 is 1

2. Where do I get the detailed procedure to find GCD of 782, 622, 67, 310?

You can find a detailed procedure to find GCD of 782, 622, 67, 310 on our page.

3. How to find GCD of 782, 622, 67, 310 on a calculator?

You can find the GCD of 782, 622, 67, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.