GCF of 2086/248, 1547/1905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2086/248, 1547/1905 i.e 7/472440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2086/248, 1547/1905.
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 2086/248,1547/1905?
Given fractions are 2086/248,1547/1905
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 2086/248,1547/1905, numerators are 2086,1547
Denominators are 248,1905
The GCF of 2086,1547 is 7 .
LCM of 248,1905 is 472440.
The greatest common factor of 2086/248,1547/1905 = [GCF of 2086,1547]/[LCM of 248,1905]= 7/472440
Therefore, the GCF of 2086/248,1547/1905 is 7/472440.
To find the highest common factor of 2086,1547, we have to find the factors of both numbers and list the highest common factor.
The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086
The factors of 1547 are 1, 7, 13, 17, 91, 119, 221, 1547
The HCF of 2086,1547 is 7.
Lets's calculate GCF of 2086,1547
| 7 | 2086, 1547 |
| 298, 221 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2086,1547 By Matching Biggest Common Factor Method
Now, list down the factors of 2086
:1,2,7,14,149,298,1043,2086
Now, list down the factors of 1547
:1,7,13,17,91,119,221,1547
Greatest Common Factor
We found the factors 2086,1547 . The biggest common factor number is the GCF number.
So the greatest common factor 2086,1547 is 7.
Lets's calculate LCM of 248,1905
Given numbers has no common factors except 1. So, there LCM is their product i.e 472440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/472440
Therefore, the GCF of Fractions 2086/248,1547/1905 is 7/472440
Least Common Multiple of 248,1905 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 248,1905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,1905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,1905) x common factors =1 x 1 = 1
LCM(248,1905) = ( 248 × 1905 ) / 1
LCM(248,1905) = 472440 / 1
LCM(248,1905) = 472440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2086/248, 1547/1905
1. What is the HCF of 2086,1547?
The HCF of 2086,1547 is 7
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 2086/248, 1547/1905?
Answer: GCF of Numerators as per given numbers 2086/248, 1547/1905 is
GCF of Numerators i.e. for 2086,1547 is 7
LCM of denominators i.e. for 248,1905 is 472440.
Thus, GCF of Fractions is 7/472440.Finally, GCF of Fractions for 2086/248, 1547/1905 is 7/472440.