GCF of 9968/73, 8540/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9968/73, 8540/291 i.e 28/21243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9968/73, 8540/291.
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 9968/73,8540/291?
Given fractions are 9968/73,8540/291
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 9968/73,8540/291, numerators are 9968,8540
Denominators are 73,291
The GCF of 9968,8540 is 28 .
LCM of 73,291 is 21243.
The greatest common factor of 9968/73,8540/291 = [GCF of 9968,8540]/[LCM of 73,291]= 28/21243
Therefore, the GCF of 9968/73,8540/291 is 28/21243.
To find the highest common factor of 9968,8540, we have to find the factors of both numbers and list the highest common factor.
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The HCF of 9968,8540 is 28.
Lets's calculate GCF of 9968,8540
| 2 | 9968, 8540 |
| 2 | 4984, 4270 |
| 7 | 2492, 2135 |
| 356, 305 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 9968,8540 By Matching Biggest Common Factor Method
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Greatest Common Factor
We found the factors 9968,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 9968,8540 is 28.
Lets's calculate LCM of 73,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 21243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/21243
Therefore, the GCF of Fractions 9968/73,8540/291 is 28/21243
Least Common Multiple of 73,291 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 73,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,291) x common factors =1 x 1 = 1
LCM(73,291) = ( 73 × 291 ) / 1
LCM(73,291) = 21243 / 1
LCM(73,291) = 21243
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FAQs on GCF of Fractions of 9968/73, 8540/291
1. What is the HCF of 9968,8540?
The HCF of 9968,8540 is 28
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 9968/73, 8540/291?
Answer: GCF of Numerators as per given numbers 9968/73, 8540/291 is
GCF of Numerators i.e. for 9968,8540 is 28
LCM of denominators i.e. for 73,291 is 21243.
Thus, GCF of Fractions is 28/21243.Finally, GCF of Fractions for 9968/73, 8540/291 is 28/21243.