GCD of 107, 953, 48, 768 Calculator

Given Input numbers are 107, 953, 48, 768

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 107, 953, 48, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 953, 48, 768 is 1.

Therefore, GCD of numbers 107, 953, 48, 768 is 1

Given Input Data is 107, 953, 48, 768

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

Prime Factorization of 107 is 107

Prime Factorization of 953 is 953

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(107, 953) = 101971

GCD(107, 953) = ( 107 x 953 ) / 101971

GCD(107, 953) = 101971 / 101971

GCD(107, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 107, 953, 48, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 179, 99, 550
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• GCD of 444, 976, 46, 504
• GCD of 430, 380, 50, 666
• GCD of 876, 130, 12, 316

1. What is the GCD of 107, 953, 48, 768?

GCD of 107, 953, 48, 768 is 1

2. Where do I get the detailed procedure to find GCD of 107, 953, 48, 768?

You can find a detailed procedure to find GCD of 107, 953, 48, 768 on our page.

3. How to find GCD of 107, 953, 48, 768 on a calculator?

You can find the GCD of 107, 953, 48, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.