GCF of 9251/434, 8701/4054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9251/434, 8701/4054 i.e 11/879718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9251/434, 8701/4054.
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 9251/434,8701/4054?
Given fractions are 9251/434,8701/4054
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 9251/434,8701/4054, numerators are 9251,8701
Denominators are 434,4054
The GCF of 9251,8701 is 11 .
LCM of 434,4054 is 879718.
The greatest common factor of 9251/434,8701/4054 = [GCF of 9251,8701]/[LCM of 434,4054]= 11/879718
Therefore, the GCF of 9251/434,8701/4054 is 11/879718.
To find the highest common factor of 9251,8701, we have to find the factors of both numbers and list the highest common factor.
The factors of 9251 are 1, 11, 29, 319, 841, 9251
The factors of 8701 are 1, 7, 11, 77, 113, 791, 1243, 8701
The HCF of 9251,8701 is 11.
Lets's calculate GCF of 9251,8701
| 11 | 9251, 8701 |
| 841, 791 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9251,8701 By Matching Biggest Common Factor Method
Now, list down the factors of 9251
:1,11,29,319,841,9251
Now, list down the factors of 8701
:1,7,11,77,113,791,1243,8701
Greatest Common Factor
We found the factors 9251,8701 . The biggest common factor number is the GCF number.
So the greatest common factor 9251,8701 is 11.
Lets's calculate LCM of 434,4054
| 2 | 434, 4054 |
| 217, 2027 |
∴ So the LCM of the given numbers is 2 x 217 x 2027 = 879718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/879718
Therefore, the GCF of Fractions 9251/434,8701/4054 is 11/879718
Least Common Multiple of 434,4054 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 434,4054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,4054) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,4054) x common factors =2 x 1 = 2
LCM(434,4054) = ( 434 × 4054 ) / 2
LCM(434,4054) = 1759436 / 2
LCM(434,4054) = 879718
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FAQs on GCF of Fractions of 9251/434, 8701/4054
1. What is the HCF of 9251,8701?
The HCF of 9251,8701 is 11
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 9251/434, 8701/4054?
Answer: GCF of Numerators as per given numbers 9251/434, 8701/4054 is
GCF of Numerators i.e. for 9251,8701 is 11
LCM of denominators i.e. for 434,4054 is 879718.
Thus, GCF of Fractions is 11/879718.Finally, GCF of Fractions for 9251/434, 8701/4054 is 11/879718.