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 987, 194, 776, 740 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 194, 776, 740 is 1
GCD(987, 194, 776, 740) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 194, 776, 740 is 1
GCD(987, 194, 776, 740) = 1
Given Input numbers are 987, 194, 776, 740
To find the GCD of numbers using factoring list out all the divisors of each number
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 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Greatest Common Divisior
We found the divisors of 987, 194, 776, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 194, 776, 740 is 1.
Therefore, GCD of numbers 987, 194, 776, 740 is 1
Given Input Data is 987, 194, 776, 740
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 194 is 2 x 97
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 740 is 2 x 2 x 5 x 37
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(987, 194) = 191478
GCD(987, 194) = ( 987 x 194 ) / 191478
GCD(987, 194) = 191478 / 191478
GCD(987, 194) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 740) = 740
GCD(1, 740) = ( 1 x 740 ) / 740
GCD(1, 740) = 740 / 740
GCD(1, 740) = 1
GCD of 987, 194, 776, 740 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 194, 776, 740?
GCD of 987, 194, 776, 740 is 1
2. Where do I get the detailed procedure to find GCD of 987, 194, 776, 740?
You can find a detailed procedure to find GCD of 987, 194, 776, 740 on our page.
3. How to find GCD of 987, 194, 776, 740 on a calculator?
You can find the GCD of 987, 194, 776, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.