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 160, 408, 851, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 408, 851, 348 is 1
GCD(160, 408, 851, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 408, 851, 348 is 1
GCD(160, 408, 851, 348) = 1
Given Input numbers are 160, 408, 851, 348
To find the GCD of numbers using factoring list out all the divisors of each number
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 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 160, 408, 851, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 408, 851, 348 is 1.
Therefore, GCD of numbers 160, 408, 851, 348 is 1
Given Input Data is 160, 408, 851, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 851 is 23 x 37
Prime Factorization of 348 is 2 x 2 x 3 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(160, 408) = 8160
GCD(160, 408) = ( 160 x 408 ) / 8160
GCD(160, 408) = 65280 / 8160
GCD(160, 408) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 851) = 6808
GCD(8, 851) = ( 8 x 851 ) / 6808
GCD(8, 851) = 6808 / 6808
GCD(8, 851) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 160, 408, 851, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 408, 851, 348?
GCD of 160, 408, 851, 348 is 1
2. Where do I get the detailed procedure to find GCD of 160, 408, 851, 348?
You can find a detailed procedure to find GCD of 160, 408, 851, 348 on our page.
3. How to find GCD of 160, 408, 851, 348 on a calculator?
You can find the GCD of 160, 408, 851, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.