GCF of 8691/249, 9449/5187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8691/249, 9449/5187 i.e 1/430521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8691/249, 9449/5187.
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 8691/249,9449/5187?
Given fractions are 8691/249,9449/5187
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 8691/249,9449/5187, numerators are 8691,9449
Denominators are 249,5187
The GCF of 8691,9449 is 1 .
LCM of 249,5187 is 430521.
The greatest common factor of 8691/249,9449/5187 = [GCF of 8691,9449]/[LCM of 249,5187]= 1/430521
Therefore, the GCF of 8691/249,9449/5187 is 1/430521.
To find the highest common factor of 8691,9449, we have to find the factors of both numbers and list the highest common factor.
The factors of 8691 are 1, 3, 2897, 8691
The factors of 9449 are 1, 11, 859, 9449
The HCF of 8691,9449 is 1.
Lets's calculate GCF of 8691,9449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8691,9449 By Matching Biggest Common Factor Method
Now, list down the factors of 8691
:1,3,2897,8691
Now, list down the factors of 9449
:1,11,859,9449
Greatest Common Factor
We found the factors 8691,9449 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,9449 is 1.
Lets's calculate LCM of 249,5187
| 3 | 249, 5187 |
| 83, 1729 |
∴ So the LCM of the given numbers is 3 x 83 x 1729 = 430521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430521
Therefore, the GCF of Fractions 8691/249,9449/5187 is 1/430521
Least Common Multiple of 249,5187 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 249,5187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,5187) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,5187) x common factors =3 x 1 = 3
LCM(249,5187) = ( 249 × 5187 ) / 3
LCM(249,5187) = 1291563 / 3
LCM(249,5187) = 430521
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FAQs on GCF of Fractions of 8691/249, 9449/5187
1. What is the HCF of 8691,9449?
The HCF of 8691,9449 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 8691/249, 9449/5187?
Answer: GCF of Numerators as per given numbers 8691/249, 9449/5187 is
GCF of Numerators i.e. for 8691,9449 is 1
LCM of denominators i.e. for 249,5187 is 430521.
Thus, GCF of Fractions is 1/430521.Finally, GCF of Fractions for 8691/249, 9449/5187 is 1/430521.