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 659, 919, 747, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 919, 747, 962 is 1
GCD(659, 919, 747, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 919, 747, 962 is 1
GCD(659, 919, 747, 962) = 1
Given Input numbers are 659, 919, 747, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 659, 919, 747, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 919, 747, 962 is 1.
Therefore, GCD of numbers 659, 919, 747, 962 is 1
Given Input Data is 659, 919, 747, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 919 is 919
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 962 is 2 x 13 x 37
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(659, 919) = 605621
GCD(659, 919) = ( 659 x 919 ) / 605621
GCD(659, 919) = 605621 / 605621
GCD(659, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 659, 919, 747, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 919, 747, 962?
GCD of 659, 919, 747, 962 is 1
2. Where do I get the detailed procedure to find GCD of 659, 919, 747, 962?
You can find a detailed procedure to find GCD of 659, 919, 747, 962 on our page.
3. How to find GCD of 659, 919, 747, 962 on a calculator?
You can find the GCD of 659, 919, 747, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.