GCD of 700, 925, 19, 785 Calculator

Given Input numbers are 700, 925, 19, 785

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

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

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 785

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

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 700, 925, 19, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 925, 19, 785 is 1.

Therefore, GCD of numbers 700, 925, 19, 785 is 1

Given Input Data is 700, 925, 19, 785

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 19 is 19

Prime Factorization of 785 is 5 x 157

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(700, 925) = 25900

GCD(700, 925) = ( 700 x 925 ) / 25900

GCD(700, 925) = 647500 / 25900

GCD(700, 925) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 19

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

LCM(25, 19) = 475

GCD(25, 19) = ( 25 x 19 ) / 475

GCD(25, 19) = 475 / 475

GCD(25, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 700, 925, 19, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 601, 41, 963
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• GCD of 904, 570, 73, 632
• GCD of 727, 175, 12, 981
• GCD of 230, 735, 96, 197

1. What is the GCD of 700, 925, 19, 785?

GCD of 700, 925, 19, 785 is 1

2. Where do I get the detailed procedure to find GCD of 700, 925, 19, 785?

You can find a detailed procedure to find GCD of 700, 925, 19, 785 on our page.

3. How to find GCD of 700, 925, 19, 785 on a calculator?

You can find the GCD of 700, 925, 19, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.