GCF of 9840/482, 6402/3972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9840/482, 6402/3972 i.e 6/957252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9840/482, 6402/3972.
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 9840/482,6402/3972?
Given fractions are 9840/482,6402/3972
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 9840/482,6402/3972, numerators are 9840,6402
Denominators are 482,3972
The GCF of 9840,6402 is 6 .
LCM of 482,3972 is 957252.
The greatest common factor of 9840/482,6402/3972 = [GCF of 9840,6402]/[LCM of 482,3972]= 6/957252
Therefore, the GCF of 9840/482,6402/3972 is 6/957252.
To find the highest common factor of 9840,6402, 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 6402 are 1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402
The HCF of 9840,6402 is 6.
Lets's calculate GCF of 9840,6402
| 2 | 9840, 6402 |
| 3 | 4920, 3201 |
| 1640, 1067 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9840,6402 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 6402
:1,2,3,6,11,22,33,66,97,194,291,582,1067,2134,3201,6402
Greatest Common Factor
We found the factors 9840,6402 . The biggest common factor number is the GCF number.
So the greatest common factor 9840,6402 is 6.
Lets's calculate LCM of 482,3972
| 2 | 482, 3972 |
| 241, 1986 |
∴ So the LCM of the given numbers is 2 x 241 x 1986 = 957252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/957252
Therefore, the GCF of Fractions 9840/482,6402/3972 is 6/957252
Least Common Multiple of 482,3972 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 482,3972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,3972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,3972) x common factors =2 x 1 = 2
LCM(482,3972) = ( 482 × 3972 ) / 2
LCM(482,3972) = 1914504 / 2
LCM(482,3972) = 957252
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FAQs on GCF of Fractions of 9840/482, 6402/3972
1. What is the HCF of 9840,6402?
The HCF of 9840,6402 is 6
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 9840/482, 6402/3972?
Answer: GCF of Numerators as per given numbers 9840/482, 6402/3972 is
GCF of Numerators i.e. for 9840,6402 is 6
LCM of denominators i.e. for 482,3972 is 957252.
Thus, GCF of Fractions is 6/957252.Finally, GCF of Fractions for 9840/482, 6402/3972 is 6/957252.