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 670, 714, 737, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 714, 737, 335 is 1
GCD(670, 714, 737, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 714, 737, 335 is 1
GCD(670, 714, 737, 335) = 1
Given Input numbers are 670, 714, 737, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 670, 714, 737, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 714, 737, 335 is 1.
Therefore, GCD of numbers 670, 714, 737, 335 is 1
Given Input Data is 670, 714, 737, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 737 is 11 x 67
Prime Factorization of 335 is 5 x 67
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(670, 714) = 239190
GCD(670, 714) = ( 670 x 714 ) / 239190
GCD(670, 714) = 478380 / 239190
GCD(670, 714) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
GCD of 670, 714, 737, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 714, 737, 335?
GCD of 670, 714, 737, 335 is 1
2. Where do I get the detailed procedure to find GCD of 670, 714, 737, 335?
You can find a detailed procedure to find GCD of 670, 714, 737, 335 on our page.
3. How to find GCD of 670, 714, 737, 335 on a calculator?
You can find the GCD of 670, 714, 737, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.