GCF of 998/484, 134/387
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 998/484, 134/387 i.e 2/187308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/484, 134/387.
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 998/484,134/387?
Given fractions are 998/484,134/387
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 998/484,134/387, numerators are 998,134
Denominators are 484,387
The GCF of 998,134 is 2 .
LCM of 484,387 is 187308.
The greatest common factor of 998/484,134/387 = [GCF of 998,134]/[LCM of 484,387]= 2/187308
Therefore, the GCF of 998/484,134/387 is 2/187308.
To find the highest common factor of 998,134, we have to find the factors of both numbers and list the highest common factor.
The factors of 998 are 1, 2, 499, 998
The factors of 134 are 1, 2, 67, 134
The HCF of 998,134 is 2.
Lets's calculate GCF of 998,134
| 2 | 998, 134 |
| 499, 67 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 998,134 By Matching Biggest Common Factor Method
Now, list down the factors of 998
:1,2,499,998
Now, list down the factors of 134
:1,2,67,134
Greatest Common Factor
We found the factors 998,134 . The biggest common factor number is the GCF number.
So the greatest common factor 998,134 is 2.
Lets's calculate LCM of 484,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 187308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187308
Therefore, the GCF of Fractions 998/484,134/387 is 2/187308
Least Common Multiple of 484,387 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 484,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(484,387) x common factors =1 x 1 = 1
LCM(484,387) = ( 484 × 387 ) / 1
LCM(484,387) = 187308 / 1
LCM(484,387) = 187308
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FAQs on GCF of Fractions of 998/484, 134/387
1. What is the HCF of 998,134?
The HCF of 998,134 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 998/484, 134/387?
Answer: GCF of Numerators as per given numbers 998/484, 134/387 is
GCF of Numerators i.e. for 998,134 is 2
LCM of denominators i.e. for 484,387 is 187308.
Thus, GCF of Fractions is 2/187308.Finally, GCF of Fractions for 998/484, 134/387 is 2/187308.