GCF of 8991/805, 5640/9008
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8991/805, 5640/9008 i.e 3/7251440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8991/805, 5640/9008.
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 8991/805,5640/9008?
Given fractions are 8991/805,5640/9008
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 8991/805,5640/9008, numerators are 8991,5640
Denominators are 805,9008
The GCF of 8991,5640 is 3 .
LCM of 805,9008 is 7251440.
The greatest common factor of 8991/805,5640/9008 = [GCF of 8991,5640]/[LCM of 805,9008]= 3/7251440
Therefore, the GCF of 8991/805,5640/9008 is 3/7251440.
To find the highest common factor of 8991,5640, we have to find the factors of both numbers and list the highest common factor.
The factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The HCF of 8991,5640 is 3.
Lets's calculate GCF of 8991,5640
| 3 | 8991, 5640 |
| 2997, 1880 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8991,5640 By Matching Biggest Common Factor Method
Now, list down the factors of 8991
:1,3,9,27,37,81,111,243,333,999,2997,8991
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Greatest Common Factor
We found the factors 8991,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 8991,5640 is 3.
Lets's calculate LCM of 805,9008
Given numbers has no common factors except 1. So, there LCM is their product i.e 7251440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7251440
Therefore, the GCF of Fractions 8991/805,5640/9008 is 3/7251440
Least Common Multiple of 805,9008 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 805,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,9008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,9008) x common factors =1 x 1 = 1
LCM(805,9008) = ( 805 × 9008 ) / 1
LCM(805,9008) = 7251440 / 1
LCM(805,9008) = 7251440
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FAQs on GCF of Fractions of 8991/805, 5640/9008
1. What is the HCF of 8991,5640?
The HCF of 8991,5640 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 8991/805, 5640/9008?
Answer: GCF of Numerators as per given numbers 8991/805, 5640/9008 is
GCF of Numerators i.e. for 8991,5640 is 3
LCM of denominators i.e. for 805,9008 is 7251440.
Thus, GCF of Fractions is 3/7251440.Finally, GCF of Fractions for 8991/805, 5640/9008 is 3/7251440.