GCD of 66, 638, 175, 711 Calculator

Given Input numbers are 66, 638, 175, 711

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

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 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 66, 638, 175, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 638, 175, 711 is 1.

Therefore, GCD of numbers 66, 638, 175, 711 is 1

Given Input Data is 66, 638, 175, 711

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 711 is 3 x 3 x 79

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(66, 638) = 1914

GCD(66, 638) = ( 66 x 638 ) / 1914

GCD(66, 638) = 42108 / 1914

GCD(66, 638) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 175

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

LCM(22, 175) = 3850

GCD(22, 175) = ( 22 x 175 ) / 3850

GCD(22, 175) = 3850 / 3850

GCD(22, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 66, 638, 175, 711 is 1

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• GCD of 56, 478, 138, 649
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1. What is the GCD of 66, 638, 175, 711?

GCD of 66, 638, 175, 711 is 1

2. Where do I get the detailed procedure to find GCD of 66, 638, 175, 711?

You can find a detailed procedure to find GCD of 66, 638, 175, 711 on our page.

3. How to find GCD of 66, 638, 175, 711 on a calculator?

You can find the GCD of 66, 638, 175, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.