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 875, 420, 24, 128 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 420, 24, 128 is 1
GCD(875, 420, 24, 128) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 420, 24, 128 is 1
GCD(875, 420, 24, 128) = 1
Given Input numbers are 875, 420, 24, 128
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Greatest Common Divisior
We found the divisors of 875, 420, 24, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 420, 24, 128 is 1.
Therefore, GCD of numbers 875, 420, 24, 128 is 1
Given Input Data is 875, 420, 24, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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(875, 420) = 10500
GCD(875, 420) = ( 875 x 420 ) / 10500
GCD(875, 420) = 367500 / 10500
GCD(875, 420) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 24) = 840
GCD(35, 24) = ( 35 x 24 ) / 840
GCD(35, 24) = 840 / 840
GCD(35, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
GCD of 875, 420, 24, 128 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 420, 24, 128?
GCD of 875, 420, 24, 128 is 1
2. Where do I get the detailed procedure to find GCD of 875, 420, 24, 128?
You can find a detailed procedure to find GCD of 875, 420, 24, 128 on our page.
3. How to find GCD of 875, 420, 24, 128 on a calculator?
You can find the GCD of 875, 420, 24, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.