GCD of 722, 314, 87, 124 Calculator

Given Input numbers are 722, 314, 87, 124

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 722, 314, 87, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 314, 87, 124 is 1.

Therefore, GCD of numbers 722, 314, 87, 124 is 1

Given Input Data is 722, 314, 87, 124

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 314 is 2 x 157

Prime Factorization of 87 is 3 x 29

Prime Factorization of 124 is 2 x 2 x 31

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(722, 314) = 113354

GCD(722, 314) = ( 722 x 314 ) / 113354

GCD(722, 314) = 226708 / 113354

GCD(722, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 722, 314, 87, 124 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 930, 95, 332
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• GCD of 198, 564, 74, 469
• GCD of 174, 128, 13, 859
• GCD of 439, 622, 65, 113

1. What is the GCD of 722, 314, 87, 124?

GCD of 722, 314, 87, 124 is 1

2. Where do I get the detailed procedure to find GCD of 722, 314, 87, 124?

You can find a detailed procedure to find GCD of 722, 314, 87, 124 on our page.

3. How to find GCD of 722, 314, 87, 124 on a calculator?

You can find the GCD of 722, 314, 87, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.