GCD of 368, 746, 580, 776 Calculator

Given Input numbers are 368, 746, 580, 776

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

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 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 368, 746, 580, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 746, 580, 776 is 2.

Therefore, GCD of numbers 368, 746, 580, 776 is 2

Given Input Data is 368, 746, 580, 776

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 746 is 2 x 373

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(368, 746) = 137264

GCD(368, 746) = ( 368 x 746 ) / 137264

GCD(368, 746) = 274528 / 137264

GCD(368, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 776

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

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

GCD(2, 776) = 1552 / 776

GCD(2, 776) = 2

GCD of 368, 746, 580, 776 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 252, 213, 197
• GCD of 267, 588, 552, 292
• GCD of 784, 900, 709, 504
• GCD of 754, 154, 595, 470
• GCD of 593, 523, 684, 311

1. What is the GCD of 368, 746, 580, 776?

GCD of 368, 746, 580, 776 is 2

2. Where do I get the detailed procedure to find GCD of 368, 746, 580, 776?

You can find a detailed procedure to find GCD of 368, 746, 580, 776 on our page.

3. How to find GCD of 368, 746, 580, 776 on a calculator?

You can find the GCD of 368, 746, 580, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.