GCF of 2444/829, 4970/3908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2444/829, 4970/3908 i.e 2/3239732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2444/829, 4970/3908.
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 2444/829,4970/3908?
Given fractions are 2444/829,4970/3908
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 2444/829,4970/3908, numerators are 2444,4970
Denominators are 829,3908
The GCF of 2444,4970 is 2 .
LCM of 829,3908 is 3239732.
The greatest common factor of 2444/829,4970/3908 = [GCF of 2444,4970]/[LCM of 829,3908]= 2/3239732
Therefore, the GCF of 2444/829,4970/3908 is 2/3239732.
To find the highest common factor of 2444,4970, we have to find the factors of both numbers and list the highest common factor.
The factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444
The factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
The HCF of 2444,4970 is 2.
Lets's calculate GCF of 2444,4970
| 2 | 2444, 4970 |
| 1222, 2485 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2444,4970 By Matching Biggest Common Factor Method
Now, list down the factors of 2444
:1,2,4,13,26,47,52,94,188,611,1222,2444
Now, list down the factors of 4970
:1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970
Greatest Common Factor
We found the factors 2444,4970 . The biggest common factor number is the GCF number.
So the greatest common factor 2444,4970 is 2.
Lets's calculate LCM of 829,3908
Given numbers has no common factors except 1. So, there LCM is their product i.e 3239732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3239732
Therefore, the GCF of Fractions 2444/829,4970/3908 is 2/3239732
Least Common Multiple of 829,3908 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 829,3908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,3908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,3908) x common factors =1 x 1 = 1
LCM(829,3908) = ( 829 × 3908 ) / 1
LCM(829,3908) = 3239732 / 1
LCM(829,3908) = 3239732
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FAQs on GCF of Fractions of 2444/829, 4970/3908
1. What is the HCF of 2444,4970?
The HCF of 2444,4970 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 2444/829, 4970/3908?
Answer: GCF of Numerators as per given numbers 2444/829, 4970/3908 is
GCF of Numerators i.e. for 2444,4970 is 2
LCM of denominators i.e. for 829,3908 is 3239732.
Thus, GCF of Fractions is 2/3239732.Finally, GCF of Fractions for 2444/829, 4970/3908 is 2/3239732.