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 741, 597, 860, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 597, 860, 997 is 1
GCD(741, 597, 860, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 597, 860, 997 is 1
GCD(741, 597, 860, 997) = 1
Given Input numbers are 741, 597, 860, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 741, 597, 860, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 597, 860, 997 is 1.
Therefore, GCD of numbers 741, 597, 860, 997 is 1
Given Input Data is 741, 597, 860, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 597 is 3 x 199
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 997 is 997
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(741, 597) = 147459
GCD(741, 597) = ( 741 x 597 ) / 147459
GCD(741, 597) = 442377 / 147459
GCD(741, 597) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 860) = 2580
GCD(3, 860) = ( 3 x 860 ) / 2580
GCD(3, 860) = 2580 / 2580
GCD(3, 860) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 741, 597, 860, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 597, 860, 997?
GCD of 741, 597, 860, 997 is 1
2. Where do I get the detailed procedure to find GCD of 741, 597, 860, 997?
You can find a detailed procedure to find GCD of 741, 597, 860, 997 on our page.
3. How to find GCD of 741, 597, 860, 997 on a calculator?
You can find the GCD of 741, 597, 860, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.