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 51, 702, 862, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 51, 702, 862, 798 is 1
GCD(51, 702, 862, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 51, 702, 862, 798 is 1
GCD(51, 702, 862, 798) = 1
Given Input numbers are 51, 702, 862, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 51, 702, 862, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 702, 862, 798 is 1.
Therefore, GCD of numbers 51, 702, 862, 798 is 1
Given Input Data is 51, 702, 862, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 51 is 3 x 17
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 862 is 2 x 431
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(51, 702) = 11934
GCD(51, 702) = ( 51 x 702 ) / 11934
GCD(51, 702) = 35802 / 11934
GCD(51, 702) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 862) = 2586
GCD(3, 862) = ( 3 x 862 ) / 2586
GCD(3, 862) = 2586 / 2586
GCD(3, 862) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 51, 702, 862, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 51, 702, 862, 798?
GCD of 51, 702, 862, 798 is 1
2. Where do I get the detailed procedure to find GCD of 51, 702, 862, 798?
You can find a detailed procedure to find GCD of 51, 702, 862, 798 on our page.
3. How to find GCD of 51, 702, 862, 798 on a calculator?
You can find the GCD of 51, 702, 862, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.