GCD of 710, 490, 745, 688 Calculator

Given Input numbers are 710, 490, 745, 688

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 710, 490, 745, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 490, 745, 688 is 1.

Therefore, GCD of numbers 710, 490, 745, 688 is 1

Given Input Data is 710, 490, 745, 688

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 745 is 5 x 149

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(710, 490) = 34790

GCD(710, 490) = ( 710 x 490 ) / 34790

GCD(710, 490) = 347900 / 34790

GCD(710, 490) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 745

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

LCM(10, 745) = 1490

GCD(10, 745) = ( 10 x 745 ) / 1490

GCD(10, 745) = 7450 / 1490

GCD(10, 745) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 688

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

LCM(5, 688) = 3440

GCD(5, 688) = ( 5 x 688 ) / 3440

GCD(5, 688) = 3440 / 3440

GCD(5, 688) = 1

GCD of 710, 490, 745, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 562, 807, 527
• GCD of 891, 504, 121, 903
• GCD of 126, 320, 536, 628
• GCD of 264, 625, 716, 838
• GCD of 531, 642, 729, 458

1. What is the GCD of 710, 490, 745, 688?

GCD of 710, 490, 745, 688 is 1

2. Where do I get the detailed procedure to find GCD of 710, 490, 745, 688?

You can find a detailed procedure to find GCD of 710, 490, 745, 688 on our page.

3. How to find GCD of 710, 490, 745, 688 on a calculator?

You can find the GCD of 710, 490, 745, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.