GCF of 9840/861, 5609/3915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9840/861, 5609/3915 i.e 1/1123605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9840/861, 5609/3915.
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 9840/861,5609/3915?
Given fractions are 9840/861,5609/3915
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 9840/861,5609/3915, numerators are 9840,5609
Denominators are 861,3915
The GCF of 9840,5609 is 1 .
LCM of 861,3915 is 1123605.
The greatest common factor of 9840/861,5609/3915 = [GCF of 9840,5609]/[LCM of 861,3915]= 1/1123605
Therefore, the GCF of 9840/861,5609/3915 is 1/1123605.
To find the highest common factor of 9840,5609, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5609 are 1, 71, 79, 5609
The HCF of 9840,5609 is 1.
Lets's calculate GCF of 9840,5609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9840,5609 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5609
:1,71,79,5609
Greatest Common Factor
We found the factors 9840,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 9840,5609 is 1.
Lets's calculate LCM of 861,3915
| 3 | 861, 3915 |
| 287, 1305 |
∴ So the LCM of the given numbers is 3 x 287 x 1305 = 1123605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1123605
Therefore, the GCF of Fractions 9840/861,5609/3915 is 1/1123605
Least Common Multiple of 861,3915 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 861,3915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,3915) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(861,3915) x common factors =3 x 1 = 3
LCM(861,3915) = ( 861 × 3915 ) / 3
LCM(861,3915) = 3370815 / 3
LCM(861,3915) = 1123605
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9840/861, 5609/3915
1. What is the HCF of 9840,5609?
The HCF of 9840,5609 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 9840/861, 5609/3915?
Answer: GCF of Numerators as per given numbers 9840/861, 5609/3915 is
GCF of Numerators i.e. for 9840,5609 is 1
LCM of denominators i.e. for 861,3915 is 1123605.
Thus, GCF of Fractions is 1/1123605.Finally, GCF of Fractions for 9840/861, 5609/3915 is 1/1123605.