GCF of 430/110, 6885/913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 430/110, 6885/913 i.e 5/9130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/110, 6885/913.
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 430/110,6885/913?
Given fractions are 430/110,6885/913
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 430/110,6885/913, numerators are 430,6885
Denominators are 110,913
The GCF of 430,6885 is 5 .
LCM of 110,913 is 9130.
The greatest common factor of 430/110,6885/913 = [GCF of 430,6885]/[LCM of 110,913]= 5/9130
Therefore, the GCF of 430/110,6885/913 is 5/9130.
To find the highest common factor of 430,6885, we have to find the factors of both numbers and list the highest common factor.
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The factors of 6885 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885
The HCF of 430,6885 is 5.
Lets's calculate GCF of 430,6885
| 5 | 430, 6885 |
| 86, 1377 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 430,6885 By Matching Biggest Common Factor Method
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Now, list down the factors of 6885
:1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885
Greatest Common Factor
We found the factors 430,6885 . The biggest common factor number is the GCF number.
So the greatest common factor 430,6885 is 5.
Lets's calculate LCM of 110,913
| 11 | 110, 913 |
| 10, 83 |
∴ So the LCM of the given numbers is 11 x 10 x 83 = 9130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9130
Therefore, the GCF of Fractions 430/110,6885/913 is 5/9130
Least Common Multiple of 110,913 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 110,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,913) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(110,913) x common factors =11 x 1 = 11
LCM(110,913) = ( 110 × 913 ) / 11
LCM(110,913) = 100430 / 11
LCM(110,913) = 9130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 430/110, 6885/913
1. What is the HCF of 430,6885?
The HCF of 430,6885 is 5
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 430/110, 6885/913?
Answer: GCF of Numerators as per given numbers 430/110, 6885/913 is
GCF of Numerators i.e. for 430,6885 is 5
LCM of denominators i.e. for 110,913 is 9130.
Thus, GCF of Fractions is 5/9130.Finally, GCF of Fractions for 430/110, 6885/913 is 5/9130.