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 989, 782, 70, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 989, 782, 70, 787 is 1
GCD(989, 782, 70, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 989, 782, 70, 787 is 1
GCD(989, 782, 70, 787) = 1
Given Input numbers are 989, 782, 70, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 989, 782, 70, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 782, 70, 787 is 1.
Therefore, GCD of numbers 989, 782, 70, 787 is 1
Given Input Data is 989, 782, 70, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 989 is 23 x 43
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 787 is 787
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(989, 782) = 33626
GCD(989, 782) = ( 989 x 782 ) / 33626
GCD(989, 782) = 773398 / 33626
GCD(989, 782) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 70) = 1610
GCD(23, 70) = ( 23 x 70 ) / 1610
GCD(23, 70) = 1610 / 1610
GCD(23, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
GCD of 989, 782, 70, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 989, 782, 70, 787?
GCD of 989, 782, 70, 787 is 1
2. Where do I get the detailed procedure to find GCD of 989, 782, 70, 787?
You can find a detailed procedure to find GCD of 989, 782, 70, 787 on our page.
3. How to find GCD of 989, 782, 70, 787 on a calculator?
You can find the GCD of 989, 782, 70, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.