GCF of 9840/194, 6319/6132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9840/194, 6319/6132 i.e 1/594804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9840/194, 6319/6132.
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 9840/194,6319/6132?
Given fractions are 9840/194,6319/6132
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 9840/194,6319/6132, numerators are 9840,6319
Denominators are 194,6132
The GCF of 9840,6319 is 1 .
LCM of 194,6132 is 594804.
The greatest common factor of 9840/194,6319/6132 = [GCF of 9840,6319]/[LCM of 194,6132]= 1/594804
Therefore, the GCF of 9840/194,6319/6132 is 1/594804.
To find the highest common factor of 9840,6319, 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 6319 are 1, 71, 89, 6319
The HCF of 9840,6319 is 1.
Lets's calculate GCF of 9840,6319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9840,6319 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 6319
:1,71,89,6319
Greatest Common Factor
We found the factors 9840,6319 . The biggest common factor number is the GCF number.
So the greatest common factor 9840,6319 is 1.
Lets's calculate LCM of 194,6132
| 2 | 194, 6132 |
| 97, 3066 |
∴ So the LCM of the given numbers is 2 x 97 x 3066 = 594804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/594804
Therefore, the GCF of Fractions 9840/194,6319/6132 is 1/594804
Least Common Multiple of 194,6132 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 194,6132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,6132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,6132) x common factors =2 x 1 = 2
LCM(194,6132) = ( 194 × 6132 ) / 2
LCM(194,6132) = 1189608 / 2
LCM(194,6132) = 594804
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FAQs on GCF of Fractions of 9840/194, 6319/6132
1. What is the HCF of 9840,6319?
The HCF of 9840,6319 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 9840/194, 6319/6132?
Answer: GCF of Numerators as per given numbers 9840/194, 6319/6132 is
GCF of Numerators i.e. for 9840,6319 is 1
LCM of denominators i.e. for 194,6132 is 594804.
Thus, GCF of Fractions is 1/594804.Finally, GCF of Fractions for 9840/194, 6319/6132 is 1/594804.