GCF of 8673/296, 9894/9510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8673/296, 9894/9510 i.e 3/1407480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8673/296, 9894/9510.
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 8673/296,9894/9510?
Given fractions are 8673/296,9894/9510
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 8673/296,9894/9510, numerators are 8673,9894
Denominators are 296,9510
The GCF of 8673,9894 is 3 .
LCM of 296,9510 is 1407480.
The greatest common factor of 8673/296,9894/9510 = [GCF of 8673,9894]/[LCM of 296,9510]= 3/1407480
Therefore, the GCF of 8673/296,9894/9510 is 3/1407480.
To find the highest common factor of 8673,9894, we have to find the factors of both numbers and list the highest common factor.
The factors of 8673 are 1, 3, 7, 21, 49, 59, 147, 177, 413, 1239, 2891, 8673
The factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894
The HCF of 8673,9894 is 3.
Lets's calculate GCF of 8673,9894
| 3 | 8673, 9894 |
| 2891, 3298 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8673,9894 By Matching Biggest Common Factor Method
Now, list down the factors of 8673
:1,3,7,21,49,59,147,177,413,1239,2891,8673
Now, list down the factors of 9894
:1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894
Greatest Common Factor
We found the factors 8673,9894 . The biggest common factor number is the GCF number.
So the greatest common factor 8673,9894 is 3.
Lets's calculate LCM of 296,9510
| 2 | 296, 9510 |
| 148, 4755 |
∴ So the LCM of the given numbers is 2 x 148 x 4755 = 1407480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1407480
Therefore, the GCF of Fractions 8673/296,9894/9510 is 3/1407480
Least Common Multiple of 296,9510 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 296,9510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,9510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,9510) x common factors =2 x 1 = 2
LCM(296,9510) = ( 296 × 9510 ) / 2
LCM(296,9510) = 2814960 / 2
LCM(296,9510) = 1407480
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FAQs on GCF of Fractions of 8673/296, 9894/9510
1. What is the HCF of 8673,9894?
The HCF of 8673,9894 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 8673/296, 9894/9510?
Answer: GCF of Numerators as per given numbers 8673/296, 9894/9510 is
GCF of Numerators i.e. for 8673,9894 is 3
LCM of denominators i.e. for 296,9510 is 1407480.
Thus, GCF of Fractions is 3/1407480.Finally, GCF of Fractions for 8673/296, 9894/9510 is 3/1407480.