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 702, 740, 207, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 702, 740, 207, 297 is 1
GCD(702, 740, 207, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 740, 207, 297 is 1
GCD(702, 740, 207, 297) = 1
Given Input numbers are 702, 740, 207, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
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 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 702, 740, 207, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 740, 207, 297 is 1.
Therefore, GCD of numbers 702, 740, 207, 297 is 1
Given Input Data is 702, 740, 207, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(702, 740) = 259740
GCD(702, 740) = ( 702 x 740 ) / 259740
GCD(702, 740) = 519480 / 259740
GCD(702, 740) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 207) = 414
GCD(2, 207) = ( 2 x 207 ) / 414
GCD(2, 207) = 414 / 414
GCD(2, 207) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 702, 740, 207, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 702, 740, 207, 297?
GCD of 702, 740, 207, 297 is 1
2. Where do I get the detailed procedure to find GCD of 702, 740, 207, 297?
You can find a detailed procedure to find GCD of 702, 740, 207, 297 on our page.
3. How to find GCD of 702, 740, 207, 297 on a calculator?
You can find the GCD of 702, 740, 207, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.