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 50, 290, 550, 534 i.e. 2 largest integer that divides all the numbers equally.
GCD of 50, 290, 550, 534 is 2
GCD(50, 290, 550, 534) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 290, 550, 534 is 2
GCD(50, 290, 550, 534) = 2
Given Input numbers are 50, 290, 550, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 50, 290, 550, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 290, 550, 534 is 2.
Therefore, GCD of numbers 50, 290, 550, 534 is 2
Given Input Data is 50, 290, 550, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 534 is 2 x 3 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(50, 290) = 1450
GCD(50, 290) = ( 50 x 290 ) / 1450
GCD(50, 290) = 14500 / 1450
GCD(50, 290) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 550) = 550
GCD(10, 550) = ( 10 x 550 ) / 550
GCD(10, 550) = 5500 / 550
GCD(10, 550) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 534) = 2670
GCD(10, 534) = ( 10 x 534 ) / 2670
GCD(10, 534) = 5340 / 2670
GCD(10, 534) = 2
GCD of 50, 290, 550, 534 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 290, 550, 534?
GCD of 50, 290, 550, 534 is 2
2. Where do I get the detailed procedure to find GCD of 50, 290, 550, 534?
You can find a detailed procedure to find GCD of 50, 290, 550, 534 on our page.
3. How to find GCD of 50, 290, 550, 534 on a calculator?
You can find the GCD of 50, 290, 550, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.