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, 160, 67, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 160, 67, 702 is 1
GCD(340, 160, 67, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 160, 67, 702 is 1
GCD(340, 160, 67, 702) = 1
Given Input numbers are 340, 160, 67, 702
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 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
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
Greatest Common Divisior
We found the divisors of 340, 160, 67, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 160, 67, 702 is 1.
Therefore, GCD of numbers 340, 160, 67, 702 is 1
Given Input Data is 340, 160, 67, 702
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 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 67 is 67
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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, 160) = 2720
GCD(340, 160) = ( 340 x 160 ) / 2720
GCD(340, 160) = 54400 / 2720
GCD(340, 160) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 67) = 1340
GCD(20, 67) = ( 20 x 67 ) / 1340
GCD(20, 67) = 1340 / 1340
GCD(20, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 340, 160, 67, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 160, 67, 702?
GCD of 340, 160, 67, 702 is 1
2. Where do I get the detailed procedure to find GCD of 340, 160, 67, 702?
You can find a detailed procedure to find GCD of 340, 160, 67, 702 on our page.
3. How to find GCD of 340, 160, 67, 702 on a calculator?
You can find the GCD of 340, 160, 67, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.