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 862, 692, 98, 826 i.e. 2 largest integer that divides all the numbers equally.
GCD of 862, 692, 98, 826 is 2
GCD(862, 692, 98, 826) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 692, 98, 826 is 2
GCD(862, 692, 98, 826) = 2
Given Input numbers are 862, 692, 98, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 862, 692, 98, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 692, 98, 826 is 2.
Therefore, GCD of numbers 862, 692, 98, 826 is 2
Given Input Data is 862, 692, 98, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 826 is 2 x 7 x 59
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(862, 692) = 298252
GCD(862, 692) = ( 862 x 692 ) / 298252
GCD(862, 692) = 596504 / 298252
GCD(862, 692) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
GCD(2, 826) = 1652 / 826
GCD(2, 826) = 2
GCD of 862, 692, 98, 826 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 692, 98, 826?
GCD of 862, 692, 98, 826 is 2
2. Where do I get the detailed procedure to find GCD of 862, 692, 98, 826?
You can find a detailed procedure to find GCD of 862, 692, 98, 826 on our page.
3. How to find GCD of 862, 692, 98, 826 on a calculator?
You can find the GCD of 862, 692, 98, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.