GCD of 420, 248, 94, 919 Calculator

Given Input numbers are 420, 248, 94, 919

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 94

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

1, 2, 47, 94

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 420, 248, 94, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 248, 94, 919 is 1.

Therefore, GCD of numbers 420, 248, 94, 919 is 1

Given Input Data is 420, 248, 94, 919

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 94 is 2 x 47

Prime Factorization of 919 is 919

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(420, 248) = 26040

GCD(420, 248) = ( 420 x 248 ) / 26040

GCD(420, 248) = 104160 / 26040

GCD(420, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

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

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 420, 248, 94, 919 is 1

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1. What is the GCD of 420, 248, 94, 919?

GCD of 420, 248, 94, 919 is 1

2. Where do I get the detailed procedure to find GCD of 420, 248, 94, 919?

You can find a detailed procedure to find GCD of 420, 248, 94, 919 on our page.

3. How to find GCD of 420, 248, 94, 919 on a calculator?

You can find the GCD of 420, 248, 94, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.