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 962, 502, 849, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 962, 502, 849, 762 is 1
GCD(962, 502, 849, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 962, 502, 849, 762 is 1
GCD(962, 502, 849, 762) = 1
Given Input numbers are 962, 502, 849, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 962, 502, 849, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 502, 849, 762 is 1.
Therefore, GCD of numbers 962, 502, 849, 762 is 1
Given Input Data is 962, 502, 849, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 502 is 2 x 251
Prime Factorization of 849 is 3 x 283
Prime Factorization of 762 is 2 x 3 x 127
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(962, 502) = 241462
GCD(962, 502) = ( 962 x 502 ) / 241462
GCD(962, 502) = 482924 / 241462
GCD(962, 502) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 849) = 1698
GCD(2, 849) = ( 2 x 849 ) / 1698
GCD(2, 849) = 1698 / 1698
GCD(2, 849) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 962, 502, 849, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 962, 502, 849, 762?
GCD of 962, 502, 849, 762 is 1
2. Where do I get the detailed procedure to find GCD of 962, 502, 849, 762?
You can find a detailed procedure to find GCD of 962, 502, 849, 762 on our page.
3. How to find GCD of 962, 502, 849, 762 on a calculator?
You can find the GCD of 962, 502, 849, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.