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 152, 689, 418, 781 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 689, 418, 781 is 1
GCD(152, 689, 418, 781) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 689, 418, 781 is 1
GCD(152, 689, 418, 781) = 1
Given Input numbers are 152, 689, 418, 781
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Greatest Common Divisior
We found the divisors of 152, 689, 418, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 689, 418, 781 is 1.
Therefore, GCD of numbers 152, 689, 418, 781 is 1
Given Input Data is 152, 689, 418, 781
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 689 is 13 x 53
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 781 is 11 x 71
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(152, 689) = 104728
GCD(152, 689) = ( 152 x 689 ) / 104728
GCD(152, 689) = 104728 / 104728
GCD(152, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
GCD(1, 418) = 418 / 418
GCD(1, 418) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 781) = 781
GCD(1, 781) = ( 1 x 781 ) / 781
GCD(1, 781) = 781 / 781
GCD(1, 781) = 1
GCD of 152, 689, 418, 781 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 689, 418, 781?
GCD of 152, 689, 418, 781 is 1
2. Where do I get the detailed procedure to find GCD of 152, 689, 418, 781?
You can find a detailed procedure to find GCD of 152, 689, 418, 781 on our page.
3. How to find GCD of 152, 689, 418, 781 on a calculator?
You can find the GCD of 152, 689, 418, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.