GCD of 99, 682, 948, 764 Calculator

Given Input numbers are 99, 682, 948, 764

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 99, 682, 948, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 682, 948, 764 is 1.

Therefore, GCD of numbers 99, 682, 948, 764 is 1

Given Input Data is 99, 682, 948, 764

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 764 is 2 x 2 x 191

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(99, 682) = 6138

GCD(99, 682) = ( 99 x 682 ) / 6138

GCD(99, 682) = 67518 / 6138

GCD(99, 682) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 948

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

LCM(11, 948) = 10428

GCD(11, 948) = ( 11 x 948 ) / 10428

GCD(11, 948) = 10428 / 10428

GCD(11, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 99, 682, 948, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 762, 951, 895
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• GCD of 20, 106, 124, 267

1. What is the GCD of 99, 682, 948, 764?

GCD of 99, 682, 948, 764 is 1

2. Where do I get the detailed procedure to find GCD of 99, 682, 948, 764?

You can find a detailed procedure to find GCD of 99, 682, 948, 764 on our page.

3. How to find GCD of 99, 682, 948, 764 on a calculator?

You can find the GCD of 99, 682, 948, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.