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, 535, 865, 782 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 535, 865, 782 is 1
GCD(142, 535, 865, 782) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 535, 865, 782 is 1
GCD(142, 535, 865, 782) = 1
Given Input numbers are 142, 535, 865, 782
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 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Greatest Common Divisior
We found the divisors of 142, 535, 865, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 535, 865, 782 is 1.
Therefore, GCD of numbers 142, 535, 865, 782 is 1
Given Input Data is 142, 535, 865, 782
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 535 is 5 x 107
Prime Factorization of 865 is 5 x 173
Prime Factorization of 782 is 2 x 17 x 23
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, 535) = 75970
GCD(142, 535) = ( 142 x 535 ) / 75970
GCD(142, 535) = 75970 / 75970
GCD(142, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
GCD of 142, 535, 865, 782 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 535, 865, 782?
GCD of 142, 535, 865, 782 is 1
2. Where do I get the detailed procedure to find GCD of 142, 535, 865, 782?
You can find a detailed procedure to find GCD of 142, 535, 865, 782 on our page.
3. How to find GCD of 142, 535, 865, 782 on a calculator?
You can find the GCD of 142, 535, 865, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.