GCD of 724, 176, 676, 707 Calculator

Given Input numbers are 724, 176, 676, 707

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 724, 176, 676, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 176, 676, 707 is 1.

Therefore, GCD of numbers 724, 176, 676, 707 is 1

Given Input Data is 724, 176, 676, 707

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 707 is 7 x 101

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(724, 176) = 31856

GCD(724, 176) = ( 724 x 176 ) / 31856

GCD(724, 176) = 127424 / 31856

GCD(724, 176) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 676

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

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

GCD(4, 676) = 2704 / 676

GCD(4, 676) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 707

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

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

GCD(4, 707) = 2828 / 2828

GCD(4, 707) = 1

GCD of 724, 176, 676, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 979, 925, 915
• GCD of 844, 351, 279, 482
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• GCD of 701, 790, 360, 960
• GCD of 707, 634, 752, 591

1. What is the GCD of 724, 176, 676, 707?

GCD of 724, 176, 676, 707 is 1

2. Where do I get the detailed procedure to find GCD of 724, 176, 676, 707?

You can find a detailed procedure to find GCD of 724, 176, 676, 707 on our page.

3. How to find GCD of 724, 176, 676, 707 on a calculator?

You can find the GCD of 724, 176, 676, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.