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 207, 294, 807, 698 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 294, 807, 698 is 1
GCD(207, 294, 807, 698) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 294, 807, 698 is 1
GCD(207, 294, 807, 698) = 1
Given Input numbers are 207, 294, 807, 698
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Greatest Common Divisior
We found the divisors of 207, 294, 807, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 294, 807, 698 is 1.
Therefore, GCD of numbers 207, 294, 807, 698 is 1
Given Input Data is 207, 294, 807, 698
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 807 is 3 x 269
Prime Factorization of 698 is 2 x 349
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(207, 294) = 20286
GCD(207, 294) = ( 207 x 294 ) / 20286
GCD(207, 294) = 60858 / 20286
GCD(207, 294) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 807) = 807
GCD(3, 807) = ( 3 x 807 ) / 807
GCD(3, 807) = 2421 / 807
GCD(3, 807) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 698) = 2094
GCD(3, 698) = ( 3 x 698 ) / 2094
GCD(3, 698) = 2094 / 2094
GCD(3, 698) = 1
GCD of 207, 294, 807, 698 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 294, 807, 698?
GCD of 207, 294, 807, 698 is 1
2. Where do I get the detailed procedure to find GCD of 207, 294, 807, 698?
You can find a detailed procedure to find GCD of 207, 294, 807, 698 on our page.
3. How to find GCD of 207, 294, 807, 698 on a calculator?
You can find the GCD of 207, 294, 807, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.