GCD of 224, 857, 41, 169 Calculator

Given Input numbers are 224, 857, 41, 169

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 224, 857, 41, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 857, 41, 169 is 1.

Therefore, GCD of numbers 224, 857, 41, 169 is 1

Given Input Data is 224, 857, 41, 169

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 857 is 857

Prime Factorization of 41 is 41

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(224, 857) = 191968

GCD(224, 857) = ( 224 x 857 ) / 191968

GCD(224, 857) = 191968 / 191968

GCD(224, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 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 224, 857, 41, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 170, 18, 490
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• GCD of 947, 998, 40, 962
• GCD of 419, 435, 24, 172
• GCD of 484, 982, 87, 508

1. What is the GCD of 224, 857, 41, 169?

GCD of 224, 857, 41, 169 is 1

2. Where do I get the detailed procedure to find GCD of 224, 857, 41, 169?

You can find a detailed procedure to find GCD of 224, 857, 41, 169 on our page.

3. How to find GCD of 224, 857, 41, 169 on a calculator?

You can find the GCD of 224, 857, 41, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.