GCF of 8907/390, 1149/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8907/390, 1149/471 i.e 3/61230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8907/390, 1149/471.
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 8907/390,1149/471?
Given fractions are 8907/390,1149/471
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 8907/390,1149/471, numerators are 8907,1149
Denominators are 390,471
The GCF of 8907,1149 is 3 .
LCM of 390,471 is 61230.
The greatest common factor of 8907/390,1149/471 = [GCF of 8907,1149]/[LCM of 390,471]= 3/61230
Therefore, the GCF of 8907/390,1149/471 is 3/61230.
To find the highest common factor of 8907,1149, we have to find the factors of both numbers and list the highest common factor.
The factors of 8907 are 1, 3, 2969, 8907
The factors of 1149 are 1, 3, 383, 1149
The HCF of 8907,1149 is 3.
Lets's calculate GCF of 8907,1149
| 3 | 8907, 1149 |
| 2969, 383 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8907,1149 By Matching Biggest Common Factor Method
Now, list down the factors of 8907
:1,3,2969,8907
Now, list down the factors of 1149
:1,3,383,1149
Greatest Common Factor
We found the factors 8907,1149 . The biggest common factor number is the GCF number.
So the greatest common factor 8907,1149 is 3.
Lets's calculate LCM of 390,471
| 3 | 390, 471 |
| 130, 157 |
∴ So the LCM of the given numbers is 3 x 130 x 157 = 61230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/61230
Therefore, the GCF of Fractions 8907/390,1149/471 is 3/61230
Least Common Multiple of 390,471 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 390,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,471) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(390,471) x common factors =3 x 1 = 3
LCM(390,471) = ( 390 × 471 ) / 3
LCM(390,471) = 183690 / 3
LCM(390,471) = 61230
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FAQs on GCF of Fractions of 8907/390, 1149/471
1. What is the HCF of 8907,1149?
The HCF of 8907,1149 is 3
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 8907/390, 1149/471?
Answer: GCF of Numerators as per given numbers 8907/390, 1149/471 is
GCF of Numerators i.e. for 8907,1149 is 3
LCM of denominators i.e. for 390,471 is 61230.
Thus, GCF of Fractions is 3/61230.Finally, GCF of Fractions for 8907/390, 1149/471 is 3/61230.