GCD of 64, 913, 105, 998 Calculator

Given Input numbers are 64, 913, 105, 998

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 64, 913, 105, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 913, 105, 998 is 1.

Therefore, GCD of numbers 64, 913, 105, 998 is 1

Given Input Data is 64, 913, 105, 998

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 913 is 11 x 83

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 998 is 2 x 499

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(64, 913) = 58432

GCD(64, 913) = ( 64 x 913 ) / 58432

GCD(64, 913) = 58432 / 58432

GCD(64, 913) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 64, 913, 105, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 978, 184, 974
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• GCD of 63, 744, 793, 906
• GCD of 37, 221, 584, 897

1. What is the GCD of 64, 913, 105, 998?

GCD of 64, 913, 105, 998 is 1

2. Where do I get the detailed procedure to find GCD of 64, 913, 105, 998?

You can find a detailed procedure to find GCD of 64, 913, 105, 998 on our page.

3. How to find GCD of 64, 913, 105, 998 on a calculator?

You can find the GCD of 64, 913, 105, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.