GCD of 784, 839, 735, 140 Calculator

Given Input numbers are 784, 839, 735, 140

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 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 784, 839, 735, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 839, 735, 140 is 1.

Therefore, GCD of numbers 784, 839, 735, 140 is 1

Given Input Data is 784, 839, 735, 140

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 839 is 839

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 140 is 2 x 2 x 5 x 7

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, 839) = 657776

GCD(784, 839) = ( 784 x 839 ) / 657776

GCD(784, 839) = 657776 / 657776

GCD(784, 839) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 784, 839, 735, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 333, 143, 719
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1. What is the GCD of 784, 839, 735, 140?

GCD of 784, 839, 735, 140 is 1

2. Where do I get the detailed procedure to find GCD of 784, 839, 735, 140?

You can find a detailed procedure to find GCD of 784, 839, 735, 140 on our page.

3. How to find GCD of 784, 839, 735, 140 on a calculator?

You can find the GCD of 784, 839, 735, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.