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 102, 637, 785, 862 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 637, 785, 862 is 1
GCD(102, 637, 785, 862) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 637, 785, 862 is 1
GCD(102, 637, 785, 862) = 1
Given Input numbers are 102, 637, 785, 862
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 102, 637, 785, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 637, 785, 862 is 1.
Therefore, GCD of numbers 102, 637, 785, 862 is 1
Given Input Data is 102, 637, 785, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 785 is 5 x 157
Prime Factorization of 862 is 2 x 431
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(102, 637) = 64974
GCD(102, 637) = ( 102 x 637 ) / 64974
GCD(102, 637) = 64974 / 64974
GCD(102, 637) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
GCD(1, 785) = 785 / 785
GCD(1, 785) = 1
Step3:
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
GCD of 102, 637, 785, 862 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 637, 785, 862?
GCD of 102, 637, 785, 862 is 1
2. Where do I get the detailed procedure to find GCD of 102, 637, 785, 862?
You can find a detailed procedure to find GCD of 102, 637, 785, 862 on our page.
3. How to find GCD of 102, 637, 785, 862 on a calculator?
You can find the GCD of 102, 637, 785, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.