GCF of 8249/804, 4963/8907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8249/804, 4963/8907 i.e 1/2387076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8249/804, 4963/8907.
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 8249/804,4963/8907?
Given fractions are 8249/804,4963/8907
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 8249/804,4963/8907, numerators are 8249,4963
Denominators are 804,8907
The GCF of 8249,4963 is 1 .
LCM of 804,8907 is 2387076.
The greatest common factor of 8249/804,4963/8907 = [GCF of 8249,4963]/[LCM of 804,8907]= 1/2387076
Therefore, the GCF of 8249/804,4963/8907 is 1/2387076.
To find the highest common factor of 8249,4963, we have to find the factors of both numbers and list the highest common factor.
The factors of 8249 are 1, 73, 113, 8249
The factors of 4963 are 1, 7, 709, 4963
The HCF of 8249,4963 is 1.
Lets's calculate GCF of 8249,4963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8249,4963 By Matching Biggest Common Factor Method
Now, list down the factors of 8249
:1,73,113,8249
Now, list down the factors of 4963
:1,7,709,4963
Greatest Common Factor
We found the factors 8249,4963 . The biggest common factor number is the GCF number.
So the greatest common factor 8249,4963 is 1.
Lets's calculate LCM of 804,8907
| 3 | 804, 8907 |
| 268, 2969 |
∴ So the LCM of the given numbers is 3 x 268 x 2969 = 2387076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2387076
Therefore, the GCF of Fractions 8249/804,4963/8907 is 1/2387076
Least Common Multiple of 804,8907 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 804,8907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,8907) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(804,8907) x common factors =3 x 1 = 3
LCM(804,8907) = ( 804 × 8907 ) / 3
LCM(804,8907) = 7161228 / 3
LCM(804,8907) = 2387076
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FAQs on GCF of Fractions of 8249/804, 4963/8907
1. What is the HCF of 8249,4963?
The HCF of 8249,4963 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 8249/804, 4963/8907?
Answer: GCF of Numerators as per given numbers 8249/804, 4963/8907 is
GCF of Numerators i.e. for 8249,4963 is 1
LCM of denominators i.e. for 804,8907 is 2387076.
Thus, GCF of Fractions is 1/2387076.Finally, GCF of Fractions for 8249/804, 4963/8907 is 1/2387076.