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, 943, 651, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 943, 651, 112 is 1
GCD(752, 943, 651, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 943, 651, 112 is 1
GCD(752, 943, 651, 112) = 1
Given Input numbers are 752, 943, 651, 112
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 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
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
Greatest Common Divisior
We found the divisors of 752, 943, 651, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 943, 651, 112 is 1.
Therefore, GCD of numbers 752, 943, 651, 112 is 1
Given Input Data is 752, 943, 651, 112
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 943 is 23 x 41
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
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, 943) = 709136
GCD(752, 943) = ( 752 x 943 ) / 709136
GCD(752, 943) = 709136 / 709136
GCD(752, 943) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 752, 943, 651, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 943, 651, 112?
GCD of 752, 943, 651, 112 is 1
2. Where do I get the detailed procedure to find GCD of 752, 943, 651, 112?
You can find a detailed procedure to find GCD of 752, 943, 651, 112 on our page.
3. How to find GCD of 752, 943, 651, 112 on a calculator?
You can find the GCD of 752, 943, 651, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.