GCF of 6303/982, 8316/2541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6303/982, 8316/2541 i.e 33/2495262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6303/982, 8316/2541.
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 6303/982,8316/2541?
Given fractions are 6303/982,8316/2541
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 6303/982,8316/2541, numerators are 6303,8316
Denominators are 982,2541
The GCF of 6303,8316 is 33 .
LCM of 982,2541 is 2495262.
The greatest common factor of 6303/982,8316/2541 = [GCF of 6303,8316]/[LCM of 982,2541]= 33/2495262
Therefore, the GCF of 6303/982,8316/2541 is 33/2495262.
To find the highest common factor of 6303,8316, we have to find the factors of both numbers and list the highest common factor.
The factors of 6303 are 1, 3, 11, 33, 191, 573, 2101, 6303
The factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316
The HCF of 6303,8316 is 33.
Lets's calculate GCF of 6303,8316
| 3 | 6303, 8316 |
| 11 | 2101, 2772 |
| 191, 252 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 6303,8316 By Matching Biggest Common Factor Method
Now, list down the factors of 6303
:1,3,11,33,191,573,2101,6303
Now, list down the factors of 8316
:1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316
Greatest Common Factor
We found the factors 6303,8316 . The biggest common factor number is the GCF number.
So the greatest common factor 6303,8316 is 33.
Lets's calculate LCM of 982,2541
Given numbers has no common factors except 1. So, there LCM is their product i.e 2495262
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2495262
Therefore, the GCF of Fractions 6303/982,8316/2541 is 33/2495262
Least Common Multiple of 982,2541 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 982,2541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,2541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,2541) x common factors =1 x 1 = 1
LCM(982,2541) = ( 982 × 2541 ) / 1
LCM(982,2541) = 2495262 / 1
LCM(982,2541) = 2495262
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FAQs on GCF of Fractions of 6303/982, 8316/2541
1. What is the HCF of 6303,8316?
The HCF of 6303,8316 is 33
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 6303/982, 8316/2541?
Answer: GCF of Numerators as per given numbers 6303/982, 8316/2541 is
GCF of Numerators i.e. for 6303,8316 is 33
LCM of denominators i.e. for 982,2541 is 2495262.
Thus, GCF of Fractions is 33/2495262.Finally, GCF of Fractions for 6303/982, 8316/2541 is 33/2495262.