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, 154, 10, 641 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 154, 10, 641 is 1
GCD(752, 154, 10, 641) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 154, 10, 641 is 1
GCD(752, 154, 10, 641) = 1
Given Input numbers are 752, 154, 10, 641
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 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
Greatest Common Divisior
We found the divisors of 752, 154, 10, 641 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 154, 10, 641 is 1.
Therefore, GCD of numbers 752, 154, 10, 641 is 1
Given Input Data is 752, 154, 10, 641
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 154 is 2 x 7 x 11
Prime Factorization of 10 is 2 x 5
Prime Factorization of 641 is 641
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, 154) = 57904
GCD(752, 154) = ( 752 x 154 ) / 57904
GCD(752, 154) = 115808 / 57904
GCD(752, 154) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 10) = 10
GCD(2, 10) = ( 2 x 10 ) / 10
GCD(2, 10) = 20 / 10
GCD(2, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 641
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 641) = 1282
GCD(2, 641) = ( 2 x 641 ) / 1282
GCD(2, 641) = 1282 / 1282
GCD(2, 641) = 1
GCD of 752, 154, 10, 641 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 154, 10, 641?
GCD of 752, 154, 10, 641 is 1
2. Where do I get the detailed procedure to find GCD of 752, 154, 10, 641?
You can find a detailed procedure to find GCD of 752, 154, 10, 641 on our page.
3. How to find GCD of 752, 154, 10, 641 on a calculator?
You can find the GCD of 752, 154, 10, 641 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.