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 70, 440, 928, 120 i.e. 2 largest integer that divides all the numbers equally.
GCD of 70, 440, 928, 120 is 2
GCD(70, 440, 928, 120) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 440, 928, 120 is 2
GCD(70, 440, 928, 120) = 2
Given Input numbers are 70, 440, 928, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 70, 440, 928, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 440, 928, 120 is 2.
Therefore, GCD of numbers 70, 440, 928, 120 is 2
Given Input Data is 70, 440, 928, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(70, 440) = 3080
GCD(70, 440) = ( 70 x 440 ) / 3080
GCD(70, 440) = 30800 / 3080
GCD(70, 440) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 928) = 4640
GCD(10, 928) = ( 10 x 928 ) / 4640
GCD(10, 928) = 9280 / 4640
GCD(10, 928) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
GCD(2, 120) = 240 / 120
GCD(2, 120) = 2
GCD of 70, 440, 928, 120 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 440, 928, 120?
GCD of 70, 440, 928, 120 is 2
2. Where do I get the detailed procedure to find GCD of 70, 440, 928, 120?
You can find a detailed procedure to find GCD of 70, 440, 928, 120 on our page.
3. How to find GCD of 70, 440, 928, 120 on a calculator?
You can find the GCD of 70, 440, 928, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.