GCF of 976/336, 6161/4275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 976/336, 6161/4275 i.e 61/478800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/336, 6161/4275.
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 976/336,6161/4275?
Given fractions are 976/336,6161/4275
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 976/336,6161/4275, numerators are 976,6161
Denominators are 336,4275
The GCF of 976,6161 is 61 .
LCM of 336,4275 is 478800.
The greatest common factor of 976/336,6161/4275 = [GCF of 976,6161]/[LCM of 336,4275]= 61/478800
Therefore, the GCF of 976/336,6161/4275 is 61/478800.
To find the highest common factor of 976,6161, we have to find the factors of both numbers and list the highest common factor.
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The factors of 6161 are 1, 61, 101, 6161
The HCF of 976,6161 is 61.
Lets's calculate GCF of 976,6161
| 61 | 976, 6161 |
| 16, 101 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 976,6161 By Matching Biggest Common Factor Method
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Now, list down the factors of 6161
:1,61,101,6161
Greatest Common Factor
We found the factors 976,6161 . The biggest common factor number is the GCF number.
So the greatest common factor 976,6161 is 61.
Lets's calculate LCM of 336,4275
| 3 | 336, 4275 |
| 112, 1425 |
∴ So the LCM of the given numbers is 3 x 112 x 1425 = 478800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/478800
Therefore, the GCF of Fractions 976/336,6161/4275 is 61/478800
Least Common Multiple of 336,4275 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 336,4275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,4275) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(336,4275) x common factors =3 x 1 = 3
LCM(336,4275) = ( 336 × 4275 ) / 3
LCM(336,4275) = 1436400 / 3
LCM(336,4275) = 478800
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FAQs on GCF of Fractions of 976/336, 6161/4275
1. What is the HCF of 976,6161?
The HCF of 976,6161 is 61
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 976/336, 6161/4275?
Answer: GCF of Numerators as per given numbers 976/336, 6161/4275 is
GCF of Numerators i.e. for 976,6161 is 61
LCM of denominators i.e. for 336,4275 is 478800.
Thus, GCF of Fractions is 61/478800.Finally, GCF of Fractions for 976/336, 6161/4275 is 61/478800.