GCF of 8850/205, 9840/6913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8850/205, 9840/6913 i.e 30/1417165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8850/205, 9840/6913.
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 8850/205,9840/6913?
Given fractions are 8850/205,9840/6913
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 8850/205,9840/6913, numerators are 8850,9840
Denominators are 205,6913
The GCF of 8850,9840 is 30 .
LCM of 205,6913 is 1417165.
The greatest common factor of 8850/205,9840/6913 = [GCF of 8850,9840]/[LCM of 205,6913]= 30/1417165
Therefore, the GCF of 8850/205,9840/6913 is 30/1417165.
To find the highest common factor of 8850,9840, we have to find the factors of both numbers and list the highest common factor.
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
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 8850,9840 is 30.
Lets's calculate GCF of 8850,9840
| 2 | 8850, 9840 |
| 3 | 4425, 4920 |
| 5 | 1475, 1640 |
| 295, 328 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 8850,9840 By Matching Biggest Common Factor Method
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
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 8850,9840 . The biggest common factor number is the GCF number.
So the greatest common factor 8850,9840 is 30.
Lets's calculate LCM of 205,6913
Given numbers has no common factors except 1. So, there LCM is their product i.e 1417165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/1417165
Therefore, the GCF of Fractions 8850/205,9840/6913 is 30/1417165
Least Common Multiple of 205,6913 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 205,6913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,6913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,6913) x common factors =1 x 1 = 1
LCM(205,6913) = ( 205 × 6913 ) / 1
LCM(205,6913) = 1417165 / 1
LCM(205,6913) = 1417165
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FAQs on GCF of Fractions of 8850/205, 9840/6913
1. What is the HCF of 8850,9840?
The HCF of 8850,9840 is 30
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 8850/205, 9840/6913?
Answer: GCF of Numerators as per given numbers 8850/205, 9840/6913 is
GCF of Numerators i.e. for 8850,9840 is 30
LCM of denominators i.e. for 205,6913 is 1417165.
Thus, GCF of Fractions is 30/1417165.Finally, GCF of Fractions for 8850/205, 9840/6913 is 30/1417165.