GCD of 207, 736, 66, 175 Calculator

Given Input numbers are 207, 736, 66, 175

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 207, 736, 66, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 736, 66, 175 is 1.

Therefore, GCD of numbers 207, 736, 66, 175 is 1

Given Input Data is 207, 736, 66, 175

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

Prime Factorization of 207 is 3 x 3 x 23

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 175 is 5 x 5 x 7

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(207, 736) = 6624

GCD(207, 736) = ( 207 x 736 ) / 6624

GCD(207, 736) = 152352 / 6624

GCD(207, 736) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 66

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

LCM(23, 66) = 1518

GCD(23, 66) = ( 23 x 66 ) / 1518

GCD(23, 66) = 1518 / 1518

GCD(23, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 207, 736, 66, 175 is 1

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• GCD of 432, 888, 63, 997
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1. What is the GCD of 207, 736, 66, 175?

GCD of 207, 736, 66, 175 is 1

2. Where do I get the detailed procedure to find GCD of 207, 736, 66, 175?

You can find a detailed procedure to find GCD of 207, 736, 66, 175 on our page.

3. How to find GCD of 207, 736, 66, 175 on a calculator?

You can find the GCD of 207, 736, 66, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.