GCD of 919, 420, 949, 667 Calculator

Given Input numbers are 919, 420, 949, 667

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

Divisors of 919

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

1, 919

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 919, 420, 949, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 420, 949, 667 is 1.

Therefore, GCD of numbers 919, 420, 949, 667 is 1

Given Input Data is 919, 420, 949, 667

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

Prime Factorization of 919 is 919

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 667 is 23 x 29

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(919, 420) = 385980

GCD(919, 420) = ( 919 x 420 ) / 385980

GCD(919, 420) = 385980 / 385980

GCD(919, 420) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 919, 420, 949, 667 is 1

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• GCD of 758, 755, 174, 160
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1. What is the GCD of 919, 420, 949, 667?

GCD of 919, 420, 949, 667 is 1

2. Where do I get the detailed procedure to find GCD of 919, 420, 949, 667?

You can find a detailed procedure to find GCD of 919, 420, 949, 667 on our page.

3. How to find GCD of 919, 420, 949, 667 on a calculator?

You can find the GCD of 919, 420, 949, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.