GCF of 4732/315, 8721/7323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4732/315, 8721/7323 i.e 1/768915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4732/315, 8721/7323.
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 4732/315,8721/7323?
Given fractions are 4732/315,8721/7323
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 4732/315,8721/7323, numerators are 4732,8721
Denominators are 315,7323
The GCF of 4732,8721 is 1 .
LCM of 315,7323 is 768915.
The greatest common factor of 4732/315,8721/7323 = [GCF of 4732,8721]/[LCM of 315,7323]= 1/768915
Therefore, the GCF of 4732/315,8721/7323 is 1/768915.
To find the highest common factor of 4732,8721, we have to find the factors of both numbers and list the highest common factor.
The factors of 4732 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 169, 182, 338, 364, 676, 1183, 2366, 4732
The factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721
The HCF of 4732,8721 is 1.
Lets's calculate GCF of 4732,8721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4732,8721 By Matching Biggest Common Factor Method
Now, list down the factors of 4732
:1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732
Now, list down the factors of 8721
:1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Greatest Common Factor
We found the factors 4732,8721 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,8721 is 1.
Lets's calculate LCM of 315,7323
| 3 | 315, 7323 |
| 105, 2441 |
∴ So the LCM of the given numbers is 3 x 105 x 2441 = 768915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/768915
Therefore, the GCF of Fractions 4732/315,8721/7323 is 1/768915
Least Common Multiple of 315,7323 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 315,7323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,7323) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(315,7323) x common factors =3 x 1 = 3
LCM(315,7323) = ( 315 × 7323 ) / 3
LCM(315,7323) = 2306745 / 3
LCM(315,7323) = 768915
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FAQs on GCF of Fractions of 4732/315, 8721/7323
1. What is the HCF of 4732,8721?
The HCF of 4732,8721 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 4732/315, 8721/7323?
Answer: GCF of Numerators as per given numbers 4732/315, 8721/7323 is
GCF of Numerators i.e. for 4732,8721 is 1
LCM of denominators i.e. for 315,7323 is 768915.
Thus, GCF of Fractions is 1/768915.Finally, GCF of Fractions for 4732/315, 8721/7323 is 1/768915.