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 758, 896, 28, 101 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 896, 28, 101 is 1
GCD(758, 896, 28, 101) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 896, 28, 101 is 1
GCD(758, 896, 28, 101) = 1
Given Input numbers are 758, 896, 28, 101
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Greatest Common Divisior
We found the divisors of 758, 896, 28, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 896, 28, 101 is 1.
Therefore, GCD of numbers 758, 896, 28, 101 is 1
Given Input Data is 758, 896, 28, 101
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 101 is 101
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(758, 896) = 339584
GCD(758, 896) = ( 758 x 896 ) / 339584
GCD(758, 896) = 679168 / 339584
GCD(758, 896) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 28) = 28
GCD(2, 28) = ( 2 x 28 ) / 28
GCD(2, 28) = 56 / 28
GCD(2, 28) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 101
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 101) = 202
GCD(2, 101) = ( 2 x 101 ) / 202
GCD(2, 101) = 202 / 202
GCD(2, 101) = 1
GCD of 758, 896, 28, 101 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 896, 28, 101?
GCD of 758, 896, 28, 101 is 1
2. Where do I get the detailed procedure to find GCD of 758, 896, 28, 101?
You can find a detailed procedure to find GCD of 758, 896, 28, 101 on our page.
3. How to find GCD of 758, 896, 28, 101 on a calculator?
You can find the GCD of 758, 896, 28, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.