GCD of 343, 417, 60, 292 Calculator

Given Input numbers are 343, 417, 60, 292

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 343, 417, 60, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 417, 60, 292 is 1.

Therefore, GCD of numbers 343, 417, 60, 292 is 1

Given Input Data is 343, 417, 60, 292

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 417 is 3 x 139

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 292 is 2 x 2 x 73

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(343, 417) = 143031

GCD(343, 417) = ( 343 x 417 ) / 143031

GCD(343, 417) = 143031 / 143031

GCD(343, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 343, 417, 60, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 637, 21, 189
• GCD of 679, 484, 39, 963
• GCD of 788, 706, 61, 409
• GCD of 807, 940, 82, 121
• GCD of 294, 877, 83, 732

1. What is the GCD of 343, 417, 60, 292?

GCD of 343, 417, 60, 292 is 1

2. Where do I get the detailed procedure to find GCD of 343, 417, 60, 292?

You can find a detailed procedure to find GCD of 343, 417, 60, 292 on our page.

3. How to find GCD of 343, 417, 60, 292 on a calculator?

You can find the GCD of 343, 417, 60, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.