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, 534, 262, 738 i.e. 2 largest integer that divides all the numbers equally.
GCD of 50, 534, 262, 738 is 2
GCD(50, 534, 262, 738) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 50, 534, 262, 738 is 2
GCD(50, 534, 262, 738) = 2
Given Input numbers are 50, 534, 262, 738
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 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 50, 534, 262, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 534, 262, 738 is 2.
Therefore, GCD of numbers 50, 534, 262, 738 is 2
Given Input Data is 50, 534, 262, 738
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 534 is 2 x 3 x 89
Prime Factorization of 262 is 2 x 131
Prime Factorization of 738 is 2 x 3 x 3 x 41
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, 534) = 13350
GCD(50, 534) = ( 50 x 534 ) / 13350
GCD(50, 534) = 26700 / 13350
GCD(50, 534) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 262) = 262
GCD(2, 262) = ( 2 x 262 ) / 262
GCD(2, 262) = 524 / 262
GCD(2, 262) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
GCD(2, 738) = 1476 / 738
GCD(2, 738) = 2
GCD of 50, 534, 262, 738 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 50, 534, 262, 738?
GCD of 50, 534, 262, 738 is 2
2. Where do I get the detailed procedure to find GCD of 50, 534, 262, 738?
You can find a detailed procedure to find GCD of 50, 534, 262, 738 on our page.
3. How to find GCD of 50, 534, 262, 738 on a calculator?
You can find the GCD of 50, 534, 262, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.