GCD of 580, 946, 88, 736 Calculator

Given Input numbers are 580, 946, 88, 736

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 580, 946, 88, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 946, 88, 736 is 2.

Therefore, GCD of numbers 580, 946, 88, 736 is 2

Given Input Data is 580, 946, 88, 736

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(580, 946) = 274340

GCD(580, 946) = ( 580 x 946 ) / 274340

GCD(580, 946) = 548680 / 274340

GCD(580, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

GCD of 580, 946, 88, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 882, 20, 796
• GCD of 183, 130, 48, 728
• GCD of 228, 747, 56, 384
• GCD of 155, 969, 12, 867
• GCD of 264, 349, 78, 726

1. What is the GCD of 580, 946, 88, 736?

GCD of 580, 946, 88, 736 is 2

2. Where do I get the detailed procedure to find GCD of 580, 946, 88, 736?

You can find a detailed procedure to find GCD of 580, 946, 88, 736 on our page.

3. How to find GCD of 580, 946, 88, 736 on a calculator?

You can find the GCD of 580, 946, 88, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.