GCF of 9182/654, 9840/6345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9182/654, 9840/6345 i.e 2/1383210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9182/654, 9840/6345.
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 9182/654,9840/6345?
Given fractions are 9182/654,9840/6345
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 9182/654,9840/6345, numerators are 9182,9840
Denominators are 654,6345
The GCF of 9182,9840 is 2 .
LCM of 654,6345 is 1383210.
The greatest common factor of 9182/654,9840/6345 = [GCF of 9182,9840]/[LCM of 654,6345]= 2/1383210
Therefore, the GCF of 9182/654,9840/6345 is 2/1383210.
To find the highest common factor of 9182,9840, we have to find the factors of both numbers and list the highest common factor.
The factors of 9182 are 1, 2, 4591, 9182
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 9182,9840 is 2.
Lets's calculate GCF of 9182,9840
| 2 | 9182, 9840 |
| 4591, 4920 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9182,9840 By Matching Biggest Common Factor Method
Now, list down the factors of 9182
:1,2,4591,9182
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 9182,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 9182,9840 is 2.
Lets's calculate LCM of 654,6345
| 3 | 654, 6345 |
| 218, 2115 |
∴ So the LCM of the given numbers is 3 x 218 x 2115 = 1383210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1383210
Therefore, the GCF of Fractions 9182/654,9840/6345 is 2/1383210
Least Common Multiple of 654,6345 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 654,6345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,6345) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(654,6345) x common factors =3 x 1 = 3
LCM(654,6345) = ( 654 × 6345 ) / 3
LCM(654,6345) = 4149630 / 3
LCM(654,6345) = 1383210
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FAQs on GCF of Fractions of 9182/654, 9840/6345
1. What is the HCF of 9182,9840?
The HCF of 9182,9840 is 2
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 9182/654, 9840/6345?
Answer: GCF of Numerators as per given numbers 9182/654, 9840/6345 is
GCF of Numerators i.e. for 9182,9840 is 2
LCM of denominators i.e. for 654,6345 is 1383210.
Thus, GCF of Fractions is 2/1383210.Finally, GCF of Fractions for 9182/654, 9840/6345 is 2/1383210.