GCD of 736, 560, 160 Calculator

Given Input numbers are 736, 560, 160

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 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 736, 560, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 560, 160 is 16.

Therefore, GCD of numbers 736, 560, 160 is 16

Given Input Data is 736, 560, 160

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 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 2⁴

Multiplying them we get the GCD as 16

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, 560) = 25760

GCD(736, 560) = ( 736 x 560 ) / 25760

GCD(736, 560) = 412160 / 25760

GCD(736, 560) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 160

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

LCM(16, 160) = 160

GCD(16, 160) = ( 16 x 160 ) / 160

GCD(16, 160) = 2560 / 160

GCD(16, 160) = 16

GCD of 736, 560, 160 is 16

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1. What is the GCD of 736, 560, 160?

GCD of 736, 560, 160 is 16

2. Where do I get the detailed procedure to find GCD of 736, 560, 160?

You can find a detailed procedure to find GCD of 736, 560, 160 on our page.

3. How to find GCD of 736, 560, 160 on a calculator?

You can find the GCD of 736, 560, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.