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 940, 888, 98, 960 i.e. 2 largest integer that divides all the numbers equally.
GCD of 940, 888, 98, 960 is 2
GCD(940, 888, 98, 960) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 888, 98, 960 is 2
GCD(940, 888, 98, 960) = 2
Given Input numbers are 940, 888, 98, 960
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 940, 888, 98, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 888, 98, 960 is 2.
Therefore, GCD of numbers 940, 888, 98, 960 is 2
Given Input Data is 940, 888, 98, 960
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 960 is 2 x 2 x 2 x 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(940, 888) = 208680
GCD(940, 888) = ( 940 x 888 ) / 208680
GCD(940, 888) = 834720 / 208680
GCD(940, 888) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 98) = 196
GCD(4, 98) = ( 4 x 98 ) / 196
GCD(4, 98) = 392 / 196
GCD(4, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 960) = 960
GCD(2, 960) = ( 2 x 960 ) / 960
GCD(2, 960) = 1920 / 960
GCD(2, 960) = 2
GCD of 940, 888, 98, 960 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 888, 98, 960?
GCD of 940, 888, 98, 960 is 2
2. Where do I get the detailed procedure to find GCD of 940, 888, 98, 960?
You can find a detailed procedure to find GCD of 940, 888, 98, 960 on our page.
3. How to find GCD of 940, 888, 98, 960 on a calculator?
You can find the GCD of 940, 888, 98, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.