GCF of 2482/713, 9776/6192
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2482/713, 9776/6192 i.e 2/4414896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2482/713, 9776/6192.
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 2482/713,9776/6192?
Given fractions are 2482/713,9776/6192
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 2482/713,9776/6192, numerators are 2482,9776
Denominators are 713,6192
The GCF of 2482,9776 is 2 .
LCM of 713,6192 is 4414896.
The greatest common factor of 2482/713,9776/6192 = [GCF of 2482,9776]/[LCM of 713,6192]= 2/4414896
Therefore, the GCF of 2482/713,9776/6192 is 2/4414896.
To find the highest common factor of 2482,9776, we have to find the factors of both numbers and list the highest common factor.
The factors of 2482 are 1, 2, 17, 34, 73, 146, 1241, 2482
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776
The HCF of 2482,9776 is 2.
Lets's calculate GCF of 2482,9776
| 2 | 2482, 9776 |
| 1241, 4888 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2482,9776 By Matching Biggest Common Factor Method
Now, list down the factors of 2482
:1,2,17,34,73,146,1241,2482
Now, list down the factors of 9776
:1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776
Greatest Common Factor
We found the factors 2482,9776 . The biggest common factor number is the GCF number.
So the greatest common factor 2482,9776 is 2.
Lets's calculate LCM of 713,6192
Given numbers has no common factors except 1. So, there LCM is their product i.e 4414896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4414896
Therefore, the GCF of Fractions 2482/713,9776/6192 is 2/4414896
Least Common Multiple of 713,6192 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 713,6192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,6192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,6192) x common factors =1 x 1 = 1
LCM(713,6192) = ( 713 × 6192 ) / 1
LCM(713,6192) = 4414896 / 1
LCM(713,6192) = 4414896
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FAQs on GCF of Fractions of 2482/713, 9776/6192
1. What is the HCF of 2482,9776?
The HCF of 2482,9776 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 2482/713, 9776/6192?
Answer: GCF of Numerators as per given numbers 2482/713, 9776/6192 is
GCF of Numerators i.e. for 2482,9776 is 2
LCM of denominators i.e. for 713,6192 is 4414896.
Thus, GCF of Fractions is 2/4414896.Finally, GCF of Fractions for 2482/713, 9776/6192 is 2/4414896.