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 142, 801, 565, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 801, 565, 689 is 1
GCD(142, 801, 565, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 801, 565, 689 is 1
GCD(142, 801, 565, 689) = 1
Given Input numbers are 142, 801, 565, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 142, 801, 565, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 801, 565, 689 is 1.
Therefore, GCD of numbers 142, 801, 565, 689 is 1
Given Input Data is 142, 801, 565, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 565 is 5 x 113
Prime Factorization of 689 is 13 x 53
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(142, 801) = 113742
GCD(142, 801) = ( 142 x 801 ) / 113742
GCD(142, 801) = 113742 / 113742
GCD(142, 801) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 142, 801, 565, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 801, 565, 689?
GCD of 142, 801, 565, 689 is 1
2. Where do I get the detailed procedure to find GCD of 142, 801, 565, 689?
You can find a detailed procedure to find GCD of 142, 801, 565, 689 on our page.
3. How to find GCD of 142, 801, 565, 689 on a calculator?
You can find the GCD of 142, 801, 565, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.