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 340, 260, 607, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 260, 607, 667 is 1
GCD(340, 260, 607, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 260, 607, 667 is 1
GCD(340, 260, 607, 667) = 1
Given Input numbers are 340, 260, 607, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 340, 260, 607, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 260, 607, 667 is 1.
Therefore, GCD of numbers 340, 260, 607, 667 is 1
Given Input Data is 340, 260, 607, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 607 is 607
Prime Factorization of 667 is 23 x 29
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(340, 260) = 4420
GCD(340, 260) = ( 340 x 260 ) / 4420
GCD(340, 260) = 88400 / 4420
GCD(340, 260) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 607
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 607) = 12140
GCD(20, 607) = ( 20 x 607 ) / 12140
GCD(20, 607) = 12140 / 12140
GCD(20, 607) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 340, 260, 607, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 260, 607, 667?
GCD of 340, 260, 607, 667 is 1
2. Where do I get the detailed procedure to find GCD of 340, 260, 607, 667?
You can find a detailed procedure to find GCD of 340, 260, 607, 667 on our page.
3. How to find GCD of 340, 260, 607, 667 on a calculator?
You can find the GCD of 340, 260, 607, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.