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 574, 962, 77 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 962, 77 is 1
GCD(574, 962, 77) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 962, 77 is 1
GCD(574, 962, 77) = 1
Given Input numbers are 574, 962, 77
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
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 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Greatest Common Divisior
We found the divisors of 574, 962, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 962, 77 is 1.
Therefore, GCD of numbers 574, 962, 77 is 1
Given Input Data is 574, 962, 77
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 77 is 7 x 11
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(574, 962) = 276094
GCD(574, 962) = ( 574 x 962 ) / 276094
GCD(574, 962) = 552188 / 276094
GCD(574, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
GCD(2, 77) = 154 / 154
GCD(2, 77) = 1
GCD of 574, 962, 77 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 962, 77?
GCD of 574, 962, 77 is 1
2. Where do I get the detailed procedure to find GCD of 574, 962, 77?
You can find a detailed procedure to find GCD of 574, 962, 77 on our page.
3. How to find GCD of 574, 962, 77 on a calculator?
You can find the GCD of 574, 962, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.