GCD of 723, 925, 67, 269 Calculator

Given Input numbers are 723, 925, 67, 269

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 723, 925, 67, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 925, 67, 269 is 1.

Therefore, GCD of numbers 723, 925, 67, 269 is 1

Given Input Data is 723, 925, 67, 269

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 67 is 67

Prime Factorization of 269 is 269

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(723, 925) = 668775

GCD(723, 925) = ( 723 x 925 ) / 668775

GCD(723, 925) = 668775 / 668775

GCD(723, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 723, 925, 67, 269 is 1

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• GCD of 973, 505, 90, 940
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1. What is the GCD of 723, 925, 67, 269?

GCD of 723, 925, 67, 269 is 1

2. Where do I get the detailed procedure to find GCD of 723, 925, 67, 269?

You can find a detailed procedure to find GCD of 723, 925, 67, 269 on our page.

3. How to find GCD of 723, 925, 67, 269 on a calculator?

You can find the GCD of 723, 925, 67, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.