GCD of 112, 752, 567 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 112, 752, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 112, 752, 567 is 1
GCD(112, 752, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 752, 567 is 1
GCD(112, 752, 567) = 1
GCDof 112,752,567 is 1
Given Input numbers are 112, 752, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
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 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 112, 752, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 752, 567 is 1.
Therefore, GCD of numbers 112, 752, 567 is 1
Given Input Data is 112, 752, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 112, 752, 567 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(112, 752) = 5264
GCD(112, 752) = ( 112 x 752 ) / 5264
GCD(112, 752) = 84224 / 5264
GCD(112, 752) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 567) = 9072
GCD(16, 567) = ( 16 x 567 ) / 9072
GCD(16, 567) = 9072 / 9072
GCD(16, 567) = 1
GCD of 112, 752, 567 is 1
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FAQs on GCD of numbers 112, 752, 567
1. What is the GCD of 112, 752, 567?
GCD of 112, 752, 567 is 1
2. Where do I get the detailed procedure to find GCD of 112, 752, 567?
You can find a detailed procedure to find GCD of 112, 752, 567 on our page.
3. How to find GCD of 112, 752, 567 on a calculator?
You can find the GCD of 112, 752, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.