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 148, 936, 732, 534 i.e. 2 largest integer that divides all the numbers equally.
GCD of 148, 936, 732, 534 is 2
GCD(148, 936, 732, 534) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 936, 732, 534 is 2
GCD(148, 936, 732, 534) = 2
Given Input numbers are 148, 936, 732, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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 148, 936, 732, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 936, 732, 534 is 2.
Therefore, GCD of numbers 148, 936, 732, 534 is 2
Given Input Data is 148, 936, 732, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 732 is 2 x 2 x 3 x 61
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(148, 936) = 34632
GCD(148, 936) = ( 148 x 936 ) / 34632
GCD(148, 936) = 138528 / 34632
GCD(148, 936) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 732
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 732) = 732
GCD(4, 732) = ( 4 x 732 ) / 732
GCD(4, 732) = 2928 / 732
GCD(4, 732) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 534) = 1068
GCD(4, 534) = ( 4 x 534 ) / 1068
GCD(4, 534) = 2136 / 1068
GCD(4, 534) = 2
GCD of 148, 936, 732, 534 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 936, 732, 534?
GCD of 148, 936, 732, 534 is 2
2. Where do I get the detailed procedure to find GCD of 148, 936, 732, 534?
You can find a detailed procedure to find GCD of 148, 936, 732, 534 on our page.
3. How to find GCD of 148, 936, 732, 534 on a calculator?
You can find the GCD of 148, 936, 732, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.