GCD of 752, 156, 14 Calculator
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 752, 156, 14 i.e. 2 largest integer that divides all the numbers equally.
GCD of 752, 156, 14 is 2
GCD(752, 156, 14) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 156, 14 is 2
GCD(752, 156, 14) = 2
GCDof 752,156,14 is 2
Given Input numbers are 752, 156, 14
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Greatest Common Divisior
We found the divisors of 752, 156, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 156, 14 is 2.
Therefore, GCD of numbers 752, 156, 14 is 2
Given Input Data is 752, 156, 14
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 14 is 2 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 752, 156, 14 using LCM Formula
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(752, 156) = 29328
GCD(752, 156) = ( 752 x 156 ) / 29328
GCD(752, 156) = 117312 / 29328
GCD(752, 156) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 14) = 28
GCD(4, 14) = ( 4 x 14 ) / 28
GCD(4, 14) = 56 / 28
GCD(4, 14) = 2
GCD of 752, 156, 14 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 752, 156, 14
1. What is the GCD of 752, 156, 14?
GCD of 752, 156, 14 is 2
2. Where do I get the detailed procedure to find GCD of 752, 156, 14?
You can find a detailed procedure to find GCD of 752, 156, 14 on our page.
3. How to find GCD of 752, 156, 14 on a calculator?
You can find the GCD of 752, 156, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.