GCD of 658, 441, 340, 745 Calculator

Given Input numbers are 658, 441, 340, 745

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 658, 441, 340, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 441, 340, 745 is 1.

Therefore, GCD of numbers 658, 441, 340, 745 is 1

Given Input Data is 658, 441, 340, 745

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 745 is 5 x 149

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(658, 441) = 41454

GCD(658, 441) = ( 658 x 441 ) / 41454

GCD(658, 441) = 290178 / 41454

GCD(658, 441) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 340

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

LCM(7, 340) = 2380

GCD(7, 340) = ( 7 x 340 ) / 2380

GCD(7, 340) = 2380 / 2380

GCD(7, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 658, 441, 340, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 953, 935, 462
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• GCD of 345, 979, 386, 110
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• GCD of 946, 109, 188, 834

1. What is the GCD of 658, 441, 340, 745?

GCD of 658, 441, 340, 745 is 1

2. Where do I get the detailed procedure to find GCD of 658, 441, 340, 745?

You can find a detailed procedure to find GCD of 658, 441, 340, 745 on our page.

3. How to find GCD of 658, 441, 340, 745 on a calculator?

You can find the GCD of 658, 441, 340, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.