GCD of 418, 343, 850, 154 Calculator

Given Input numbers are 418, 343, 850, 154

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 343

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

1, 7, 49, 343

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 418, 343, 850, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 343, 850, 154 is 1.

Therefore, GCD of numbers 418, 343, 850, 154 is 1

Given Input Data is 418, 343, 850, 154

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 154 is 2 x 7 x 11

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(418, 343) = 143374

GCD(418, 343) = ( 418 x 343 ) / 143374

GCD(418, 343) = 143374 / 143374

GCD(418, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 418, 343, 850, 154 is 1

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1. What is the GCD of 418, 343, 850, 154?

GCD of 418, 343, 850, 154 is 1

2. Where do I get the detailed procedure to find GCD of 418, 343, 850, 154?

You can find a detailed procedure to find GCD of 418, 343, 850, 154 on our page.

3. How to find GCD of 418, 343, 850, 154 on a calculator?

You can find the GCD of 418, 343, 850, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.