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 740, 710, 35, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 710, 35, 997 is 1
GCD(740, 710, 35, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 710, 35, 997 is 1
GCD(740, 710, 35, 997) = 1
Given Input numbers are 740, 710, 35, 997
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
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 740, 710, 35, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 710, 35, 997 is 1.
Therefore, GCD of numbers 740, 710, 35, 997 is 1
Given Input Data is 740, 710, 35, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 35 is 5 x 7
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(740, 710) = 52540
GCD(740, 710) = ( 740 x 710 ) / 52540
GCD(740, 710) = 525400 / 52540
GCD(740, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 35) = 70
GCD(10, 35) = ( 10 x 35 ) / 70
GCD(10, 35) = 350 / 70
GCD(10, 35) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 997) = 4985
GCD(5, 997) = ( 5 x 997 ) / 4985
GCD(5, 997) = 4985 / 4985
GCD(5, 997) = 1
GCD of 740, 710, 35, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 710, 35, 997?
GCD of 740, 710, 35, 997 is 1
2. Where do I get the detailed procedure to find GCD of 740, 710, 35, 997?
You can find a detailed procedure to find GCD of 740, 710, 35, 997 on our page.
3. How to find GCD of 740, 710, 35, 997 on a calculator?
You can find the GCD of 740, 710, 35, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.