GCF of 2830/455, 9830/7959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2830/455, 9830/7959 i.e 10/517335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2830/455, 9830/7959.
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 2830/455,9830/7959?
Given fractions are 2830/455,9830/7959
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 2830/455,9830/7959, numerators are 2830,9830
Denominators are 455,7959
The GCF of 2830,9830 is 10 .
LCM of 455,7959 is 517335.
The greatest common factor of 2830/455,9830/7959 = [GCF of 2830,9830]/[LCM of 455,7959]= 10/517335
Therefore, the GCF of 2830/455,9830/7959 is 10/517335.
To find the highest common factor of 2830,9830, we have to find the factors of both numbers and list the highest common factor.
The factors of 2830 are 1, 2, 5, 10, 283, 566, 1415, 2830
The factors of 9830 are 1, 2, 5, 10, 983, 1966, 4915, 9830
The HCF of 2830,9830 is 10.
Lets's calculate GCF of 2830,9830
| 2 | 2830, 9830 |
| 5 | 1415, 4915 |
| 283, 983 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2830,9830 By Matching Biggest Common Factor Method
Now, list down the factors of 2830
:1,2,5,10,283,566,1415,2830
Now, list down the factors of 9830
:1,2,5,10,983,1966,4915,9830
Greatest Common Factor
We found the factors 2830,9830 . The biggest common factor number is the GCF number.
So the greatest common factor 2830,9830 is 10.
Lets's calculate LCM of 455,7959
| 7 | 455, 7959 |
| 65, 1137 |
∴ So the LCM of the given numbers is 7 x 65 x 1137 = 517335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/517335
Therefore, the GCF of Fractions 2830/455,9830/7959 is 10/517335
Least Common Multiple of 455,7959 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 455,7959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,7959) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(455,7959) x common factors =7 x 1 = 7
LCM(455,7959) = ( 455 × 7959 ) / 7
LCM(455,7959) = 3621345 / 7
LCM(455,7959) = 517335
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2830/455, 9830/7959
1. What is the HCF of 2830,9830?
The HCF of 2830,9830 is 10
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 2830/455, 9830/7959?
Answer: GCF of Numerators as per given numbers 2830/455, 9830/7959 is
GCF of Numerators i.e. for 2830,9830 is 10
LCM of denominators i.e. for 455,7959 is 517335.
Thus, GCF of Fractions is 10/517335.Finally, GCF of Fractions for 2830/455, 9830/7959 is 10/517335.