GCD of 653, 929, 945, 338 Calculator

Given Input numbers are 653, 929, 945, 338

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 653, 929, 945, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 929, 945, 338 is 1.

Therefore, GCD of numbers 653, 929, 945, 338 is 1

Given Input Data is 653, 929, 945, 338

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

Prime Factorization of 653 is 653

Prime Factorization of 929 is 929

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 338 is 2 x 13 x 13

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(653, 929) = 606637

GCD(653, 929) = ( 653 x 929 ) / 606637

GCD(653, 929) = 606637 / 606637

GCD(653, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 653, 929, 945, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 356, 728, 471
• GCD of 789, 513, 411, 196
• GCD of 884, 777, 125, 426
• GCD of 327, 487, 818, 243
• GCD of 147, 736, 168, 480

1. What is the GCD of 653, 929, 945, 338?

GCD of 653, 929, 945, 338 is 1

2. Where do I get the detailed procedure to find GCD of 653, 929, 945, 338?

You can find a detailed procedure to find GCD of 653, 929, 945, 338 on our page.

3. How to find GCD of 653, 929, 945, 338 on a calculator?

You can find the GCD of 653, 929, 945, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.