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 760, 733, 987, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 733, 987, 152 is 1
GCD(760, 733, 987, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 733, 987, 152 is 1
GCD(760, 733, 987, 152) = 1
Given Input numbers are 760, 733, 987, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 760, 733, 987, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 733, 987, 152 is 1.
Therefore, GCD of numbers 760, 733, 987, 152 is 1
Given Input Data is 760, 733, 987, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 733 is 733
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(760, 733) = 557080
GCD(760, 733) = ( 760 x 733 ) / 557080
GCD(760, 733) = 557080 / 557080
GCD(760, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 760, 733, 987, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 733, 987, 152?
GCD of 760, 733, 987, 152 is 1
2. Where do I get the detailed procedure to find GCD of 760, 733, 987, 152?
You can find a detailed procedure to find GCD of 760, 733, 987, 152 on our page.
3. How to find GCD of 760, 733, 987, 152 on a calculator?
You can find the GCD of 760, 733, 987, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.