GCD of 992, 348, 70, 853 Calculator

Given Input numbers are 992, 348, 70, 853

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 992, 348, 70, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 348, 70, 853 is 1.

Therefore, GCD of numbers 992, 348, 70, 853 is 1

Given Input Data is 992, 348, 70, 853

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 853 is 853

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(992, 348) = 86304

GCD(992, 348) = ( 992 x 348 ) / 86304

GCD(992, 348) = 345216 / 86304

GCD(992, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

GCD of 992, 348, 70, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 173, 72, 183
• GCD of 211, 556, 49, 785
• GCD of 579, 695, 74, 119
• GCD of 383, 545, 18, 765
• GCD of 746, 713, 98, 632

1. What is the GCD of 992, 348, 70, 853?

GCD of 992, 348, 70, 853 is 1

2. Where do I get the detailed procedure to find GCD of 992, 348, 70, 853?

You can find a detailed procedure to find GCD of 992, 348, 70, 853 on our page.

3. How to find GCD of 992, 348, 70, 853 on a calculator?

You can find the GCD of 992, 348, 70, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.