GCF of 4931/560, 9288/8561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4931/560, 9288/8561 i.e 1/684880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4931/560, 9288/8561.
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 4931/560,9288/8561?
Given fractions are 4931/560,9288/8561
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 4931/560,9288/8561, numerators are 4931,9288
Denominators are 560,8561
The GCF of 4931,9288 is 1 .
LCM of 560,8561 is 684880.
The greatest common factor of 4931/560,9288/8561 = [GCF of 4931,9288]/[LCM of 560,8561]= 1/684880
Therefore, the GCF of 4931/560,9288/8561 is 1/684880.
To find the highest common factor of 4931,9288, we have to find the factors of both numbers and list the highest common factor.
The factors of 4931 are 1, 4931
The factors of 9288 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 43, 54, 72, 86, 108, 129, 172, 216, 258, 344, 387, 516, 774, 1032, 1161, 1548, 2322, 3096, 4644, 9288
The HCF of 4931,9288 is 1.
Lets's calculate GCF of 4931,9288
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4931,9288 By Matching Biggest Common Factor Method
Now, list down the factors of 4931
:1,4931
Now, list down the factors of 9288
:1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288
Greatest Common Factor
We found the factors 4931,9288 . The biggest common factor number is the GCF number.
So the greatest common factor 4931,9288 is 1.
Lets's calculate LCM of 560,8561
| 7 | 560, 8561 |
| 80, 1223 |
∴ So the LCM of the given numbers is 7 x 80 x 1223 = 684880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/684880
Therefore, the GCF of Fractions 4931/560,9288/8561 is 1/684880
Least Common Multiple of 560,8561 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 560,8561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,8561) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(560,8561) x common factors =7 x 1 = 7
LCM(560,8561) = ( 560 × 8561 ) / 7
LCM(560,8561) = 4794160 / 7
LCM(560,8561) = 684880
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FAQs on GCF of Fractions of 4931/560, 9288/8561
1. What is the HCF of 4931,9288?
The HCF of 4931,9288 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 4931/560, 9288/8561?
Answer: GCF of Numerators as per given numbers 4931/560, 9288/8561 is
GCF of Numerators i.e. for 4931,9288 is 1
LCM of denominators i.e. for 560,8561 is 684880.
Thus, GCF of Fractions is 1/684880.Finally, GCF of Fractions for 4931/560, 9288/8561 is 1/684880.