GCD of 588, 892, 280, 709 Calculator

Given Input numbers are 588, 892, 280, 709

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 588, 892, 280, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 892, 280, 709 is 1.

Therefore, GCD of numbers 588, 892, 280, 709 is 1

Given Input Data is 588, 892, 280, 709

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 709 is 709

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(588, 892) = 131124

GCD(588, 892) = ( 588 x 892 ) / 131124

GCD(588, 892) = 524496 / 131124

GCD(588, 892) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 280

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

LCM(4, 280) = 280

GCD(4, 280) = ( 4 x 280 ) / 280

GCD(4, 280) = 1120 / 280

GCD(4, 280) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 709

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

LCM(4, 709) = 2836

GCD(4, 709) = ( 4 x 709 ) / 2836

GCD(4, 709) = 2836 / 2836

GCD(4, 709) = 1

GCD of 588, 892, 280, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 969, 524, 935
• GCD of 738, 502, 174, 110
• GCD of 264, 301, 964, 249
• GCD of 705, 898, 437, 353
• GCD of 377, 280, 271, 142

1. What is the GCD of 588, 892, 280, 709?

GCD of 588, 892, 280, 709 is 1

2. Where do I get the detailed procedure to find GCD of 588, 892, 280, 709?

You can find a detailed procedure to find GCD of 588, 892, 280, 709 on our page.

3. How to find GCD of 588, 892, 280, 709 on a calculator?

You can find the GCD of 588, 892, 280, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.