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 690, 850, 337, 718 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 850, 337, 718 is 1
GCD(690, 850, 337, 718) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 850, 337, 718 is 1
GCD(690, 850, 337, 718) = 1
Given Input numbers are 690, 850, 337, 718
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Greatest Common Divisior
We found the divisors of 690, 850, 337, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 850, 337, 718 is 1.
Therefore, GCD of numbers 690, 850, 337, 718 is 1
Given Input Data is 690, 850, 337, 718
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 337 is 337
Prime Factorization of 718 is 2 x 359
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(690, 850) = 58650
GCD(690, 850) = ( 690 x 850 ) / 58650
GCD(690, 850) = 586500 / 58650
GCD(690, 850) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 337) = 3370
GCD(10, 337) = ( 10 x 337 ) / 3370
GCD(10, 337) = 3370 / 3370
GCD(10, 337) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
GCD(1, 718) = 718 / 718
GCD(1, 718) = 1
GCD of 690, 850, 337, 718 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 850, 337, 718?
GCD of 690, 850, 337, 718 is 1
2. Where do I get the detailed procedure to find GCD of 690, 850, 337, 718?
You can find a detailed procedure to find GCD of 690, 850, 337, 718 on our page.
3. How to find GCD of 690, 850, 337, 718 on a calculator?
You can find the GCD of 690, 850, 337, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.