GCD of 658, 680, 61, 347 Calculator

Given Input numbers are 658, 680, 61, 347

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 658, 680, 61, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 680, 61, 347 is 1.

Therefore, GCD of numbers 658, 680, 61, 347 is 1

Given Input Data is 658, 680, 61, 347

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 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 61 is 61

Prime Factorization of 347 is 347

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, 680) = 223720

GCD(658, 680) = ( 658 x 680 ) / 223720

GCD(658, 680) = 447440 / 223720

GCD(658, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 658, 680, 61, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 138, 34, 349
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• GCD of 189, 573, 74, 693
• GCD of 575, 900, 35, 374

1. What is the GCD of 658, 680, 61, 347?

GCD of 658, 680, 61, 347 is 1

2. Where do I get the detailed procedure to find GCD of 658, 680, 61, 347?

You can find a detailed procedure to find GCD of 658, 680, 61, 347 on our page.

3. How to find GCD of 658, 680, 61, 347 on a calculator?

You can find the GCD of 658, 680, 61, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.