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 80, 848, 375, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 848, 375, 434 is 1
GCD(80, 848, 375, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 848, 375, 434 is 1
GCD(80, 848, 375, 434) = 1
Given Input numbers are 80, 848, 375, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
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 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 80, 848, 375, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 848, 375, 434 is 1.
Therefore, GCD of numbers 80, 848, 375, 434 is 1
Given Input Data is 80, 848, 375, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 434 is 2 x 7 x 31
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(80, 848) = 4240
GCD(80, 848) = ( 80 x 848 ) / 4240
GCD(80, 848) = 67840 / 4240
GCD(80, 848) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 375) = 6000
GCD(16, 375) = ( 16 x 375 ) / 6000
GCD(16, 375) = 6000 / 6000
GCD(16, 375) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 80, 848, 375, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 848, 375, 434?
GCD of 80, 848, 375, 434 is 1
2. Where do I get the detailed procedure to find GCD of 80, 848, 375, 434?
You can find a detailed procedure to find GCD of 80, 848, 375, 434 on our page.
3. How to find GCD of 80, 848, 375, 434 on a calculator?
You can find the GCD of 80, 848, 375, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.