GCF of 8514/723, 4832/9120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8514/723, 4832/9120 i.e 2/2197920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8514/723, 4832/9120.
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 8514/723,4832/9120?
Given fractions are 8514/723,4832/9120
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 8514/723,4832/9120, numerators are 8514,4832
Denominators are 723,9120
The GCF of 8514,4832 is 2 .
LCM of 723,9120 is 2197920.
The greatest common factor of 8514/723,4832/9120 = [GCF of 8514,4832]/[LCM of 723,9120]= 2/2197920
Therefore, the GCF of 8514/723,4832/9120 is 2/2197920.
To find the highest common factor of 8514,4832, we have to find the factors of both numbers and list the highest common factor.
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832
The HCF of 8514,4832 is 2.
Lets's calculate GCF of 8514,4832
| 2 | 8514, 4832 |
| 4257, 2416 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8514,4832 By Matching Biggest Common Factor Method
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Now, list down the factors of 4832
:1,2,4,8,16,32,151,302,604,1208,2416,4832
Greatest Common Factor
We found the factors 8514,4832 . The biggest common factor number is the GCF number.
So the greatest common factor 8514,4832 is 2.
Lets's calculate LCM of 723,9120
| 3 | 723, 9120 |
| 241, 3040 |
∴ So the LCM of the given numbers is 3 x 241 x 3040 = 2197920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2197920
Therefore, the GCF of Fractions 8514/723,4832/9120 is 2/2197920
Least Common Multiple of 723,9120 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 723,9120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,9120) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,9120) x common factors =3 x 1 = 3
LCM(723,9120) = ( 723 × 9120 ) / 3
LCM(723,9120) = 6593760 / 3
LCM(723,9120) = 2197920
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FAQs on GCF of Fractions of 8514/723, 4832/9120
1. What is the HCF of 8514,4832?
The HCF of 8514,4832 is 2
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 8514/723, 4832/9120?
Answer: GCF of Numerators as per given numbers 8514/723, 4832/9120 is
GCF of Numerators i.e. for 8514,4832 is 2
LCM of denominators i.e. for 723,9120 is 2197920.
Thus, GCF of Fractions is 2/2197920.Finally, GCF of Fractions for 8514/723, 4832/9120 is 2/2197920.