GCD of 736, 960, 408, 348 Calculator

Given Input numbers are 736, 960, 408, 348

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 736, 960, 408, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 960, 408, 348 is 4.

Therefore, GCD of numbers 736, 960, 408, 348 is 4

Given Input Data is 736, 960, 408, 348

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

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(736, 960) = 22080

GCD(736, 960) = ( 736 x 960 ) / 22080

GCD(736, 960) = 706560 / 22080

GCD(736, 960) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 408

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

LCM(32, 408) = 1632

GCD(32, 408) = ( 32 x 408 ) / 1632

GCD(32, 408) = 13056 / 1632

GCD(32, 408) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 348

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

LCM(8, 348) = 696

GCD(8, 348) = ( 8 x 348 ) / 696

GCD(8, 348) = 2784 / 696

GCD(8, 348) = 4

GCD of 736, 960, 408, 348 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 795, 194, 780
• GCD of 647, 424, 495, 862
• GCD of 618, 200, 148, 225
• GCD of 367, 612, 941, 597
• GCD of 381, 697, 159, 822

1. What is the GCD of 736, 960, 408, 348?

GCD of 736, 960, 408, 348 is 4

2. Where do I get the detailed procedure to find GCD of 736, 960, 408, 348?

You can find a detailed procedure to find GCD of 736, 960, 408, 348 on our page.

3. How to find GCD of 736, 960, 408, 348 on a calculator?

You can find the GCD of 736, 960, 408, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.