Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 992, 851, 862, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 992, 851, 862, 956 is 1
GCD(992, 851, 862, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 851, 862, 956 is 1
GCD(992, 851, 862, 956) = 1
Given Input numbers are 992, 851, 862, 956
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 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 992, 851, 862, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 851, 862, 956 is 1.
Therefore, GCD of numbers 992, 851, 862, 956 is 1
Given Input Data is 992, 851, 862, 956
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 851 is 23 x 37
Prime Factorization of 862 is 2 x 431
Prime Factorization of 956 is 2 x 2 x 239
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, 851) = 844192
GCD(992, 851) = ( 992 x 851 ) / 844192
GCD(992, 851) = 844192 / 844192
GCD(992, 851) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 992, 851, 862, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 851, 862, 956?
GCD of 992, 851, 862, 956 is 1
2. Where do I get the detailed procedure to find GCD of 992, 851, 862, 956?
You can find a detailed procedure to find GCD of 992, 851, 862, 956 on our page.
3. How to find GCD of 992, 851, 862, 956 on a calculator?
You can find the GCD of 992, 851, 862, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.