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 98, 942, 125, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 942, 125, 600 is 1
GCD(98, 942, 125, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 942, 125, 600 is 1
GCD(98, 942, 125, 600) = 1
Given Input numbers are 98, 942, 125, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 98, 942, 125, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 942, 125, 600 is 1.
Therefore, GCD of numbers 98, 942, 125, 600 is 1
Given Input Data is 98, 942, 125, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
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(98, 942) = 46158
GCD(98, 942) = ( 98 x 942 ) / 46158
GCD(98, 942) = 92316 / 46158
GCD(98, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
GCD(2, 125) = 250 / 250
GCD(2, 125) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 98, 942, 125, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 942, 125, 600?
GCD of 98, 942, 125, 600 is 1
2. Where do I get the detailed procedure to find GCD of 98, 942, 125, 600?
You can find a detailed procedure to find GCD of 98, 942, 125, 600 on our page.
3. How to find GCD of 98, 942, 125, 600 on a calculator?
You can find the GCD of 98, 942, 125, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.