GCF of 98/50, 359/86, 519/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 98/50, 359/86, 519/309 i.e 1/664350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/50, 359/86, 519/309.
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 98/50,359/86,519/309?
Given fractions are 98/50,359/86,519/309
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 98/50,359/86,519/309, numerators are 98,359,519
Denominators are 50,86,309
The GCF of 98,359,519 is 1 .
LCM of 50,86,309 is 664350.
The greatest common factor of 98/50,359/86,519/309 = [GCF of 98,359,519]/[LCM of 50,86,309]= 1/664350
Therefore, the GCF of 98/50,359/86,519/309 is 1/664350.
To find the highest common factor of 98,359,519, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 359 are 1, 359
The factors of 519 are 1, 3, 173, 519
The HCF of 98,359,519 is 1.
Lets's calculate GCF of 98,359,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 98,359,519 By Matching Biggest Common Factor Method
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 359
:1,359
Now, list down the factors of 519
:1,3,173,519
Greatest Common Factor
We found the factors 98,359,519 . The biggest common factor number is the GCF number.
So the greatest common factor 98,359,519 is 1.
Lets's calculate LCM of 50,86,309
| 2 | 50, 86, 309 |
| 25, 43, 309 |
∴ So the LCM of the given numbers is 2 x 25 x 43 x 309 = 664350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664350
Therefore, the GCF of Fractions 98/50,359/86,519/309 is 1/664350
Least Common Multiple of 50,86,309 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 50,86,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,86,309) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,86,309) x common factors =1 x 2 = 2
LCM(50,86,309) = ( 50 × 86 × 309 ) / 2
LCM(50,86,309) = 1328700 / 2
LCM(50,86,309) = 664350
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 98/50, 359/86, 519/309
1. What is the HCF of 98,359,519?
The HCF of 98,359,519 is 1
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 98/50, 359/86, 519/309?
Answer: GCF of Numerators as per given numbers 98/50, 359/86, 519/309 is
GCF of Numerators i.e. for 98,359,519 is 1
LCM of denominators i.e. for 50,86,309 is 664350.
Thus, GCF of Fractions is 1/664350.Finally, GCF of Fractions for 98/50, 359/86, 519/309 is 1/664350.