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 534, 136, 963, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 534, 136, 963, 414 is 1
GCD(534, 136, 963, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 534, 136, 963, 414 is 1
GCD(534, 136, 963, 414) = 1
Given Input numbers are 534, 136, 963, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 534, 136, 963, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 136, 963, 414 is 1.
Therefore, GCD of numbers 534, 136, 963, 414 is 1
Given Input Data is 534, 136, 963, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 414 is 2 x 3 x 3 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(534, 136) = 36312
GCD(534, 136) = ( 534 x 136 ) / 36312
GCD(534, 136) = 72624 / 36312
GCD(534, 136) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 963) = 1926
GCD(2, 963) = ( 2 x 963 ) / 1926
GCD(2, 963) = 1926 / 1926
GCD(2, 963) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 534, 136, 963, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 534, 136, 963, 414?
GCD of 534, 136, 963, 414 is 1
2. Where do I get the detailed procedure to find GCD of 534, 136, 963, 414?
You can find a detailed procedure to find GCD of 534, 136, 963, 414 on our page.
3. How to find GCD of 534, 136, 963, 414 on a calculator?
You can find the GCD of 534, 136, 963, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.