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 64, 848, 345, 221 i.e. 1 largest integer that divides all the numbers equally.
GCD of 64, 848, 345, 221 is 1
GCD(64, 848, 345, 221) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 848, 345, 221 is 1
GCD(64, 848, 345, 221) = 1
Given Input numbers are 64, 848, 345, 221
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Greatest Common Divisior
We found the divisors of 64, 848, 345, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 848, 345, 221 is 1.
Therefore, GCD of numbers 64, 848, 345, 221 is 1
Given Input Data is 64, 848, 345, 221
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 221 is 13 x 17
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(64, 848) = 3392
GCD(64, 848) = ( 64 x 848 ) / 3392
GCD(64, 848) = 54272 / 3392
GCD(64, 848) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 345) = 5520
GCD(16, 345) = ( 16 x 345 ) / 5520
GCD(16, 345) = 5520 / 5520
GCD(16, 345) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
GCD(1, 221) = 221 / 221
GCD(1, 221) = 1
GCD of 64, 848, 345, 221 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 64, 848, 345, 221?
GCD of 64, 848, 345, 221 is 1
2. Where do I get the detailed procedure to find GCD of 64, 848, 345, 221?
You can find a detailed procedure to find GCD of 64, 848, 345, 221 on our page.
3. How to find GCD of 64, 848, 345, 221 on a calculator?
You can find the GCD of 64, 848, 345, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.