GCF of 728/924, 801/465, 848/965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 728/924, 801/465, 848/965 i.e 1/27641460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/924, 801/465, 848/965.
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 728/924,801/465,848/965?
Given fractions are 728/924,801/465,848/965
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 728/924,801/465,848/965, numerators are 728,801,848
Denominators are 924,465,965
The GCF of 728,801,848 is 1 .
LCM of 924,465,965 is 27641460.
The greatest common factor of 728/924,801/465,848/965 = [GCF of 728,801,848]/[LCM of 924,465,965]= 1/27641460
Therefore, the GCF of 728/924,801/465,848/965 is 1/27641460.
To find the highest common factor of 728,801,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The factors of 801 are 1, 3, 9, 89, 267, 801
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 728,801,848 is 1.
Lets's calculate GCF of 728,801,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 728,801,848 By Matching Biggest Common Factor Method
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Now, list down the factors of 801
:1,3,9,89,267,801
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 728,801,848 . The biggest common factor number is the GCF number.
So the greatest common factor 728,801,848 is 1.
Lets's calculate LCM of 924,465,965
| 3 | 924, 465, 965 |
| 5 | 308, 155, 965 |
| 308, 31, 193 |
∴ So the LCM of the given numbers is 3 x 5 x 308 x 31 x 193 = 27641460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27641460
Therefore, the GCF of Fractions 728/924,801/465,848/965 is 1/27641460
Least Common Multiple of 924,465,965 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 924,465,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,465,965) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(924,465,965) x common factors =1 x 15 = 15
LCM(924,465,965) = ( 924 × 465 × 965 ) / 15
LCM(924,465,965) = 414621900 / 15
LCM(924,465,965) = 27641460
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FAQs on GCF of Fractions of 728/924, 801/465, 848/965
1. What is the HCF of 728,801,848?
The HCF of 728,801,848 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 728/924, 801/465, 848/965?
Answer: GCF of Numerators as per given numbers 728/924, 801/465, 848/965 is
GCF of Numerators i.e. for 728,801,848 is 1
LCM of denominators i.e. for 924,465,965 is 27641460.
Thus, GCF of Fractions is 1/27641460.Finally, GCF of Fractions for 728/924, 801/465, 848/965 is 1/27641460.