GCF of 7228/267, 8709/6552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7228/267, 8709/6552 i.e 1/583128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7228/267, 8709/6552.
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 7228/267,8709/6552?
Given fractions are 7228/267,8709/6552
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 7228/267,8709/6552, numerators are 7228,8709
Denominators are 267,6552
The GCF of 7228,8709 is 1 .
LCM of 267,6552 is 583128.
The greatest common factor of 7228/267,8709/6552 = [GCF of 7228,8709]/[LCM of 267,6552]= 1/583128
Therefore, the GCF of 7228/267,8709/6552 is 1/583128.
To find the highest common factor of 7228,8709, we have to find the factors of both numbers and list the highest common factor.
The factors of 7228 are 1, 2, 4, 13, 26, 52, 139, 278, 556, 1807, 3614, 7228
The factors of 8709 are 1, 3, 2903, 8709
The HCF of 7228,8709 is 1.
Lets's calculate GCF of 7228,8709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7228,8709 By Matching Biggest Common Factor Method
Now, list down the factors of 7228
:1,2,4,13,26,52,139,278,556,1807,3614,7228
Now, list down the factors of 8709
:1,3,2903,8709
Greatest Common Factor
We found the factors 7228,8709 . The biggest common factor number is the GCF number.
So the greatest common factor 7228,8709 is 1.
Lets's calculate LCM of 267,6552
| 3 | 267, 6552 |
| 89, 2184 |
∴ So the LCM of the given numbers is 3 x 89 x 2184 = 583128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583128
Therefore, the GCF of Fractions 7228/267,8709/6552 is 1/583128
Least Common Multiple of 267,6552 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 267,6552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,6552) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,6552) x common factors =3 x 1 = 3
LCM(267,6552) = ( 267 × 6552 ) / 3
LCM(267,6552) = 1749384 / 3
LCM(267,6552) = 583128
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FAQs on GCF of Fractions of 7228/267, 8709/6552
1. What is the HCF of 7228,8709?
The HCF of 7228,8709 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 7228/267, 8709/6552?
Answer: GCF of Numerators as per given numbers 7228/267, 8709/6552 is
GCF of Numerators i.e. for 7228,8709 is 1
LCM of denominators i.e. for 267,6552 is 583128.
Thus, GCF of Fractions is 1/583128.Finally, GCF of Fractions for 7228/267, 8709/6552 is 1/583128.