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 276, 778, 23, 752 i.e. 1 largest integer that divides all the numbers equally.
GCD of 276, 778, 23, 752 is 1
GCD(276, 778, 23, 752) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 778, 23, 752 is 1
GCD(276, 778, 23, 752) = 1
Given Input numbers are 276, 778, 23, 752
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
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
Greatest Common Divisior
We found the divisors of 276, 778, 23, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 778, 23, 752 is 1.
Therefore, GCD of numbers 276, 778, 23, 752 is 1
Given Input Data is 276, 778, 23, 752
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 778 is 2 x 389
Prime Factorization of 23 is 23
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
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(276, 778) = 107364
GCD(276, 778) = ( 276 x 778 ) / 107364
GCD(276, 778) = 214728 / 107364
GCD(276, 778) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 23) = 46
GCD(2, 23) = ( 2 x 23 ) / 46
GCD(2, 23) = 46 / 46
GCD(2, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 752
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
GCD(1, 752) = 752 / 752
GCD(1, 752) = 1
GCD of 276, 778, 23, 752 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 778, 23, 752?
GCD of 276, 778, 23, 752 is 1
2. Where do I get the detailed procedure to find GCD of 276, 778, 23, 752?
You can find a detailed procedure to find GCD of 276, 778, 23, 752 on our page.
3. How to find GCD of 276, 778, 23, 752 on a calculator?
You can find the GCD of 276, 778, 23, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.