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 998, 700, 112, 958 i.e. 2 largest integer that divides all the numbers equally.
GCD of 998, 700, 112, 958 is 2
GCD(998, 700, 112, 958) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 998, 700, 112, 958 is 2
GCD(998, 700, 112, 958) = 2
Given Input numbers are 998, 700, 112, 958
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 998, 700, 112, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 700, 112, 958 is 2.
Therefore, GCD of numbers 998, 700, 112, 958 is 2
Given Input Data is 998, 700, 112, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 998 is 2 x 499
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 958 is 2 x 479
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(998, 700) = 349300
GCD(998, 700) = ( 998 x 700 ) / 349300
GCD(998, 700) = 698600 / 349300
GCD(998, 700) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
GCD(2, 112) = 224 / 112
GCD(2, 112) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 958) = 958
GCD(2, 958) = ( 2 x 958 ) / 958
GCD(2, 958) = 1916 / 958
GCD(2, 958) = 2
GCD of 998, 700, 112, 958 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 998, 700, 112, 958?
GCD of 998, 700, 112, 958 is 2
2. Where do I get the detailed procedure to find GCD of 998, 700, 112, 958?
You can find a detailed procedure to find GCD of 998, 700, 112, 958 on our page.
3. How to find GCD of 998, 700, 112, 958 on a calculator?
You can find the GCD of 998, 700, 112, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.