GCF of 4906/976, 6884/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4906/976, 6884/286 i.e 2/139568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4906/976, 6884/286.
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 4906/976,6884/286?
Given fractions are 4906/976,6884/286
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 4906/976,6884/286, numerators are 4906,6884
Denominators are 976,286
The GCF of 4906,6884 is 2 .
LCM of 976,286 is 139568.
The greatest common factor of 4906/976,6884/286 = [GCF of 4906,6884]/[LCM of 976,286]= 2/139568
Therefore, the GCF of 4906/976,6884/286 is 2/139568.
To find the highest common factor of 4906,6884, we have to find the factors of both numbers and list the highest common factor.
The factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906
The factors of 6884 are 1, 2, 4, 1721, 3442, 6884
The HCF of 4906,6884 is 2.
Lets's calculate GCF of 4906,6884
| 2 | 4906, 6884 |
| 2453, 3442 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4906,6884 By Matching Biggest Common Factor Method
Now, list down the factors of 4906
:1,2,11,22,223,446,2453,4906
Now, list down the factors of 6884
:1,2,4,1721,3442,6884
Greatest Common Factor
We found the factors 4906,6884 . The biggest common factor number is the GCF number.
So the greatest common factor 4906,6884 is 2.
Lets's calculate LCM of 976,286
| 2 | 976, 286 |
| 488, 143 |
∴ So the LCM of the given numbers is 2 x 488 x 143 = 139568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139568
Therefore, the GCF of Fractions 4906/976,6884/286 is 2/139568
Least Common Multiple of 976,286 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 976,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,286) x common factors =2 x 1 = 2
LCM(976,286) = ( 976 × 286 ) / 2
LCM(976,286) = 279136 / 2
LCM(976,286) = 139568
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FAQs on GCF of Fractions of 4906/976, 6884/286
1. What is the HCF of 4906,6884?
The HCF of 4906,6884 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 4906/976, 6884/286?
Answer: GCF of Numerators as per given numbers 4906/976, 6884/286 is
GCF of Numerators i.e. for 4906,6884 is 2
LCM of denominators i.e. for 976,286 is 139568.
Thus, GCF of Fractions is 2/139568.Finally, GCF of Fractions for 4906/976, 6884/286 is 2/139568.