GCD of 807, 298, 736, 707 Calculator

Given Input numbers are 807, 298, 736, 707

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 807, 298, 736, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 298, 736, 707 is 1.

Therefore, GCD of numbers 807, 298, 736, 707 is 1

Given Input Data is 807, 298, 736, 707

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 707 is 7 x 101

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(807, 298) = 240486

GCD(807, 298) = ( 807 x 298 ) / 240486

GCD(807, 298) = 240486 / 240486

GCD(807, 298) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 807, 298, 736, 707 is 1

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1. What is the GCD of 807, 298, 736, 707?

GCD of 807, 298, 736, 707 is 1

2. Where do I get the detailed procedure to find GCD of 807, 298, 736, 707?

You can find a detailed procedure to find GCD of 807, 298, 736, 707 on our page.

3. How to find GCD of 807, 298, 736, 707 on a calculator?

You can find the GCD of 807, 298, 736, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.