GCD of 785, 788, 172, 700 Calculator

Given Input numbers are 785, 788, 172, 700

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 785, 788, 172, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 788, 172, 700 is 1.

Therefore, GCD of numbers 785, 788, 172, 700 is 1

Given Input Data is 785, 788, 172, 700

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 700 is 2 x 2 x 5 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(785, 788) = 618580

GCD(785, 788) = ( 785 x 788 ) / 618580

GCD(785, 788) = 618580 / 618580

GCD(785, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 785, 788, 172, 700 is 1

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1. What is the GCD of 785, 788, 172, 700?

GCD of 785, 788, 172, 700 is 1

2. Where do I get the detailed procedure to find GCD of 785, 788, 172, 700?

You can find a detailed procedure to find GCD of 785, 788, 172, 700 on our page.

3. How to find GCD of 785, 788, 172, 700 on a calculator?

You can find the GCD of 785, 788, 172, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.