GCD of 660, 754, 65, 707 Calculator

Given Input numbers are 660, 754, 65, 707

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 660, 754, 65, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 754, 65, 707 is 1.

Therefore, GCD of numbers 660, 754, 65, 707 is 1

Given Input Data is 660, 754, 65, 707

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 65 is 5 x 13

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(660, 754) = 248820

GCD(660, 754) = ( 660 x 754 ) / 248820

GCD(660, 754) = 497640 / 248820

GCD(660, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 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 660, 754, 65, 707 is 1

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• GCD of 277, 512, 20, 604
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1. What is the GCD of 660, 754, 65, 707?

GCD of 660, 754, 65, 707 is 1

2. Where do I get the detailed procedure to find GCD of 660, 754, 65, 707?

You can find a detailed procedure to find GCD of 660, 754, 65, 707 on our page.

3. How to find GCD of 660, 754, 65, 707 on a calculator?

You can find the GCD of 660, 754, 65, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.