GCD of 892, 838, 96, 677 Calculator

Given Input numbers are 892, 838, 96, 677

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 892, 838, 96, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 838, 96, 677 is 1.

Therefore, GCD of numbers 892, 838, 96, 677 is 1

Given Input Data is 892, 838, 96, 677

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 838 is 2 x 419

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 677 is 677

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(892, 838) = 373748

GCD(892, 838) = ( 892 x 838 ) / 373748

GCD(892, 838) = 747496 / 373748

GCD(892, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

GCD of 892, 838, 96, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 498, 75, 604
• GCD of 549, 328, 61, 461
• GCD of 314, 940, 92, 854
• GCD of 135, 777, 18, 215
• GCD of 223, 111, 92, 500

1. What is the GCD of 892, 838, 96, 677?

GCD of 892, 838, 96, 677 is 1

2. Where do I get the detailed procedure to find GCD of 892, 838, 96, 677?

You can find a detailed procedure to find GCD of 892, 838, 96, 677 on our page.

3. How to find GCD of 892, 838, 96, 677 on a calculator?

You can find the GCD of 892, 838, 96, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.