GCF of 3334/714, 2398/9981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3334/714, 2398/9981 i.e 2/2375478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3334/714, 2398/9981.
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 3334/714,2398/9981?
Given fractions are 3334/714,2398/9981
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 3334/714,2398/9981, numerators are 3334,2398
Denominators are 714,9981
The GCF of 3334,2398 is 2 .
LCM of 714,9981 is 2375478.
The greatest common factor of 3334/714,2398/9981 = [GCF of 3334,2398]/[LCM of 714,9981]= 2/2375478
Therefore, the GCF of 3334/714,2398/9981 is 2/2375478.
To find the highest common factor of 3334,2398, we have to find the factors of both numbers and list the highest common factor.
The factors of 3334 are 1, 2, 1667, 3334
The factors of 2398 are 1, 2, 11, 22, 109, 218, 1199, 2398
The HCF of 3334,2398 is 2.
Lets's calculate GCF of 3334,2398
| 2 | 3334, 2398 |
| 1667, 1199 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3334,2398 By Matching Biggest Common Factor Method
Now, list down the factors of 3334
:1,2,1667,3334
Now, list down the factors of 2398
:1,2,11,22,109,218,1199,2398
Greatest Common Factor
We found the factors 3334,2398 . The biggest common factor number is the GCF number.
So the greatest common factor 3334,2398 is 2.
Lets's calculate LCM of 714,9981
| 3 | 714, 9981 |
| 238, 3327 |
∴ So the LCM of the given numbers is 3 x 238 x 3327 = 2375478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2375478
Therefore, the GCF of Fractions 3334/714,2398/9981 is 2/2375478
Least Common Multiple of 714,9981 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 714,9981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,9981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(714,9981) x common factors =3 x 1 = 3
LCM(714,9981) = ( 714 × 9981 ) / 3
LCM(714,9981) = 7126434 / 3
LCM(714,9981) = 2375478
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FAQs on GCF of Fractions of 3334/714, 2398/9981
1. What is the HCF of 3334,2398?
The HCF of 3334,2398 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 3334/714, 2398/9981?
Answer: GCF of Numerators as per given numbers 3334/714, 2398/9981 is
GCF of Numerators i.e. for 3334,2398 is 2
LCM of denominators i.e. for 714,9981 is 2375478.
Thus, GCF of Fractions is 2/2375478.Finally, GCF of Fractions for 3334/714, 2398/9981 is 2/2375478.