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 696, 145, 606, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 145, 606, 987 is 1
GCD(696, 145, 606, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 145, 606, 987 is 1
GCD(696, 145, 606, 987) = 1
Given Input numbers are 696, 145, 606, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 696, 145, 606, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 145, 606, 987 is 1.
Therefore, GCD of numbers 696, 145, 606, 987 is 1
Given Input Data is 696, 145, 606, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 145 is 5 x 29
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 987 is 3 x 7 x 47
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(696, 145) = 3480
GCD(696, 145) = ( 696 x 145 ) / 3480
GCD(696, 145) = 100920 / 3480
GCD(696, 145) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 606) = 17574
GCD(29, 606) = ( 29 x 606 ) / 17574
GCD(29, 606) = 17574 / 17574
GCD(29, 606) = 1
Step3:
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
GCD of 696, 145, 606, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 145, 606, 987?
GCD of 696, 145, 606, 987 is 1
2. Where do I get the detailed procedure to find GCD of 696, 145, 606, 987?
You can find a detailed procedure to find GCD of 696, 145, 606, 987 on our page.
3. How to find GCD of 696, 145, 606, 987 on a calculator?
You can find the GCD of 696, 145, 606, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.