GCD of 220, 705, 292, 736 Calculator

Given Input numbers are 220, 705, 292, 736

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

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 220, 705, 292, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 705, 292, 736 is 1.

Therefore, GCD of numbers 220, 705, 292, 736 is 1

Given Input Data is 220, 705, 292, 736

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 292 is 2 x 2 x 73

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

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(220, 705) = 31020

GCD(220, 705) = ( 220 x 705 ) / 31020

GCD(220, 705) = 155100 / 31020

GCD(220, 705) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 292

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

LCM(5, 292) = 1460

GCD(5, 292) = ( 5 x 292 ) / 1460

GCD(5, 292) = 1460 / 1460

GCD(5, 292) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 220, 705, 292, 736 is 1

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1. What is the GCD of 220, 705, 292, 736?

GCD of 220, 705, 292, 736 is 1

2. Where do I get the detailed procedure to find GCD of 220, 705, 292, 736?

You can find a detailed procedure to find GCD of 220, 705, 292, 736 on our page.

3. How to find GCD of 220, 705, 292, 736 on a calculator?

You can find the GCD of 220, 705, 292, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.