GCF of 8865/734, 9840/3382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8865/734, 9840/3382 i.e 15/1241194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8865/734, 9840/3382.
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 8865/734,9840/3382?
Given fractions are 8865/734,9840/3382
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 8865/734,9840/3382, numerators are 8865,9840
Denominators are 734,3382
The GCF of 8865,9840 is 15 .
LCM of 734,3382 is 1241194.
The greatest common factor of 8865/734,9840/3382 = [GCF of 8865,9840]/[LCM of 734,3382]= 15/1241194
Therefore, the GCF of 8865/734,9840/3382 is 15/1241194.
To find the highest common factor of 8865,9840, we have to find the factors of both numbers and list the highest common factor.
The factors of 8865 are 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865
The factors of 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840
The HCF of 8865,9840 is 15.
Lets's calculate GCF of 8865,9840
| 3 | 8865, 9840 |
| 5 | 2955, 3280 |
| 591, 656 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8865,9840 By Matching Biggest Common Factor Method
Now, list down the factors of 8865
:1,3,5,9,15,45,197,591,985,1773,2955,8865
Now, list down the factors of 9840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840
Greatest Common Factor
We found the factors 8865,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 8865,9840 is 15.
Lets's calculate LCM of 734,3382
| 2 | 734, 3382 |
| 367, 1691 |
∴ So the LCM of the given numbers is 2 x 367 x 1691 = 1241194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1241194
Therefore, the GCF of Fractions 8865/734,9840/3382 is 15/1241194
Least Common Multiple of 734,3382 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 734,3382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,3382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,3382) x common factors =2 x 1 = 2
LCM(734,3382) = ( 734 × 3382 ) / 2
LCM(734,3382) = 2482388 / 2
LCM(734,3382) = 1241194
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8865/734, 9840/3382
1. What is the HCF of 8865,9840?
The HCF of 8865,9840 is 15
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 8865/734, 9840/3382?
Answer: GCF of Numerators as per given numbers 8865/734, 9840/3382 is
GCF of Numerators i.e. for 8865,9840 is 15
LCM of denominators i.e. for 734,3382 is 1241194.
Thus, GCF of Fractions is 15/1241194.Finally, GCF of Fractions for 8865/734, 9840/3382 is 15/1241194.