GCF of 7229/505, 8151/2870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7229/505, 8151/2870 i.e 1/289870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7229/505, 8151/2870.
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 7229/505,8151/2870?
Given fractions are 7229/505,8151/2870
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 7229/505,8151/2870, numerators are 7229,8151
Denominators are 505,2870
The GCF of 7229,8151 is 1 .
LCM of 505,2870 is 289870.
The greatest common factor of 7229/505,8151/2870 = [GCF of 7229,8151]/[LCM of 505,2870]= 1/289870
Therefore, the GCF of 7229/505,8151/2870 is 1/289870.
To find the highest common factor of 7229,8151, we have to find the factors of both numbers and list the highest common factor.
The factors of 7229 are 1, 7229
The factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151
The HCF of 7229,8151 is 1.
Lets's calculate GCF of 7229,8151
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7229,8151 By Matching Biggest Common Factor Method
Now, list down the factors of 7229
:1,7229
Now, list down the factors of 8151
:1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151
Greatest Common Factor
We found the factors 7229,8151 . The biggest common factor number is the GCF number.
So the greatest common factor 7229,8151 is 1.
Lets's calculate LCM of 505,2870
| 5 | 505, 2870 |
| 101, 574 |
∴ So the LCM of the given numbers is 5 x 101 x 574 = 289870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289870
Therefore, the GCF of Fractions 7229/505,8151/2870 is 1/289870
Least Common Multiple of 505,2870 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 505,2870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,2870) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(505,2870) x common factors =5 x 1 = 5
LCM(505,2870) = ( 505 × 2870 ) / 5
LCM(505,2870) = 1449350 / 5
LCM(505,2870) = 289870
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FAQs on GCF of Fractions of 7229/505, 8151/2870
1. What is the HCF of 7229,8151?
The HCF of 7229,8151 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 7229/505, 8151/2870?
Answer: GCF of Numerators as per given numbers 7229/505, 8151/2870 is
GCF of Numerators i.e. for 7229,8151 is 1
LCM of denominators i.e. for 505,2870 is 289870.
Thus, GCF of Fractions is 1/289870.Finally, GCF of Fractions for 7229/505, 8151/2870 is 1/289870.