GCD of 712, 938, 870, 685 Calculator

Given Input numbers are 712, 938, 870, 685

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 712, 938, 870, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 938, 870, 685 is 1.

Therefore, GCD of numbers 712, 938, 870, 685 is 1

Given Input Data is 712, 938, 870, 685

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 685 is 5 x 137

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(712, 938) = 333928

GCD(712, 938) = ( 712 x 938 ) / 333928

GCD(712, 938) = 667856 / 333928

GCD(712, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

GCD of 712, 938, 870, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 769, 102, 449
• GCD of 609, 140, 851, 686
• GCD of 704, 944, 252, 742
• GCD of 839, 717, 238, 522
• GCD of 622, 105, 127, 376

1. What is the GCD of 712, 938, 870, 685?

GCD of 712, 938, 870, 685 is 1

2. Where do I get the detailed procedure to find GCD of 712, 938, 870, 685?

You can find a detailed procedure to find GCD of 712, 938, 870, 685 on our page.

3. How to find GCD of 712, 938, 870, 685 on a calculator?

You can find the GCD of 712, 938, 870, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.