GCD of 310, 343, 94, 169 Calculator

Given Input numbers are 310, 343, 94, 169

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 343

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

1, 7, 49, 343

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 310, 343, 94, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 343, 94, 169 is 1.

Therefore, GCD of numbers 310, 343, 94, 169 is 1

Given Input Data is 310, 343, 94, 169

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 94 is 2 x 47

Prime Factorization of 169 is 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(310, 343) = 106330

GCD(310, 343) = ( 310 x 343 ) / 106330

GCD(310, 343) = 106330 / 106330

GCD(310, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 94

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

LCM(1, 94) = 94

GCD(1, 94) = ( 1 x 94 ) / 94

GCD(1, 94) = 94 / 94

GCD(1, 94) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 310, 343, 94, 169 is 1

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• GCD of 987, 197, 94, 251
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1. What is the GCD of 310, 343, 94, 169?

GCD of 310, 343, 94, 169 is 1

2. Where do I get the detailed procedure to find GCD of 310, 343, 94, 169?

You can find a detailed procedure to find GCD of 310, 343, 94, 169 on our page.

3. How to find GCD of 310, 343, 94, 169 on a calculator?

You can find the GCD of 310, 343, 94, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.