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, 952, 425, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 952, 425, 767 is 1
GCD(987, 952, 425, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 952, 425, 767 is 1
GCD(987, 952, 425, 767) = 1
Given Input numbers are 987, 952, 425, 767
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 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 987, 952, 425, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 952, 425, 767 is 1.
Therefore, GCD of numbers 987, 952, 425, 767 is 1
Given Input Data is 987, 952, 425, 767
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 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 767 is 13 x 59
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, 952) = 134232
GCD(987, 952) = ( 987 x 952 ) / 134232
GCD(987, 952) = 939624 / 134232
GCD(987, 952) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 425) = 2975
GCD(7, 425) = ( 7 x 425 ) / 2975
GCD(7, 425) = 2975 / 2975
GCD(7, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 987, 952, 425, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 952, 425, 767?
GCD of 987, 952, 425, 767 is 1
2. Where do I get the detailed procedure to find GCD of 987, 952, 425, 767?
You can find a detailed procedure to find GCD of 987, 952, 425, 767 on our page.
3. How to find GCD of 987, 952, 425, 767 on a calculator?
You can find the GCD of 987, 952, 425, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.