GCD of 782, 697, 49, 850 Calculator

Given Input numbers are 782, 697, 49, 850

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 782, 697, 49, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 697, 49, 850 is 1.

Therefore, GCD of numbers 782, 697, 49, 850 is 1

Given Input Data is 782, 697, 49, 850

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 697 is 17 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 850 is 2 x 5 x 5 x 17

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, 697) = 32062

GCD(782, 697) = ( 782 x 697 ) / 32062

GCD(782, 697) = 545054 / 32062

GCD(782, 697) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 49

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

LCM(17, 49) = 833

GCD(17, 49) = ( 17 x 49 ) / 833

GCD(17, 49) = 833 / 833

GCD(17, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 782, 697, 49, 850 is 1

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• GCD of 263, 260, 56, 993
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1. What is the GCD of 782, 697, 49, 850?

GCD of 782, 697, 49, 850 is 1

2. Where do I get the detailed procedure to find GCD of 782, 697, 49, 850?

You can find a detailed procedure to find GCD of 782, 697, 49, 850 on our page.

3. How to find GCD of 782, 697, 49, 850 on a calculator?

You can find the GCD of 782, 697, 49, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.