GCF of 1998/136, 4178/296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1998/136, 4178/296 i.e 2/5032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1998/136, 4178/296.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1998/136,4178/296?
Given fractions are 1998/136,4178/296
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1998/136,4178/296, numerators are 1998,4178
Denominators are 136,296
The GCF of 1998,4178 is 2 .
LCM of 136,296 is 5032.
The greatest common factor of 1998/136,4178/296 = [GCF of 1998,4178]/[LCM of 136,296]= 2/5032
Therefore, the GCF of 1998/136,4178/296 is 2/5032.
To find the highest common factor of 1998,4178, we have to find the factors of both numbers and list the highest common factor.
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The factors of 4178 are 1, 2, 2089, 4178
The HCF of 1998,4178 is 2.
Lets's calculate GCF of 1998,4178
| 2 | 1998, 4178 |
| 999, 2089 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1998,4178 By Matching Biggest Common Factor Method
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Now, list down the factors of 4178
:1,2,2089,4178
Greatest Common Factor
We found the factors 1998,4178 . The biggest common factor number is the GCF number.
So the greatest common factor 1998,4178 is 2.
Lets's calculate LCM of 136,296
| 2 | 136, 296 |
| 2 | 68, 148 |
| 2 | 34, 74 |
| 17, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 37 = 5032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5032
Therefore, the GCF of Fractions 1998/136,4178/296 is 2/5032
Least Common Multiple of 136,296 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 136,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,296) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(136,296) x common factors =8 x 1 = 8
LCM(136,296) = ( 136 × 296 ) / 8
LCM(136,296) = 40256 / 8
LCM(136,296) = 5032
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1998/136, 4178/296
1. What is the HCF of 1998,4178?
The HCF of 1998,4178 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1998/136, 4178/296?
Answer: GCF of Numerators as per given numbers 1998/136, 4178/296 is
GCF of Numerators i.e. for 1998,4178 is 2
LCM of denominators i.e. for 136,296 is 5032.
Thus, GCF of Fractions is 2/5032.Finally, GCF of Fractions for 1998/136, 4178/296 is 2/5032.