GCF of 4758/873, 4191/322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4758/873, 4191/322 i.e 3/281106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4758/873, 4191/322.
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 4758/873,4191/322?
Given fractions are 4758/873,4191/322
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 4758/873,4191/322, numerators are 4758,4191
Denominators are 873,322
The GCF of 4758,4191 is 3 .
LCM of 873,322 is 281106.
The greatest common factor of 4758/873,4191/322 = [GCF of 4758,4191]/[LCM of 873,322]= 3/281106
Therefore, the GCF of 4758/873,4191/322 is 3/281106.
To find the highest common factor of 4758,4191, we have to find the factors of both numbers and list the highest common factor.
The factors of 4758 are 1, 2, 3, 6, 13, 26, 39, 61, 78, 122, 183, 366, 793, 1586, 2379, 4758
The factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191
The HCF of 4758,4191 is 3.
Lets's calculate GCF of 4758,4191
| 3 | 4758, 4191 |
| 1586, 1397 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4758,4191 By Matching Biggest Common Factor Method
Now, list down the factors of 4758
:1,2,3,6,13,26,39,61,78,122,183,366,793,1586,2379,4758
Now, list down the factors of 4191
:1,3,11,33,127,381,1397,4191
Greatest Common Factor
We found the factors 4758,4191 . The biggest common factor number is the GCF number.
So the greatest common factor 4758,4191 is 3.
Lets's calculate LCM of 873,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 281106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/281106
Therefore, the GCF of Fractions 4758/873,4191/322 is 3/281106
Least Common Multiple of 873,322 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 873,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,322) x common factors =1 x 1 = 1
LCM(873,322) = ( 873 × 322 ) / 1
LCM(873,322) = 281106 / 1
LCM(873,322) = 281106
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FAQs on GCF of Fractions of 4758/873, 4191/322
1. What is the HCF of 4758,4191?
The HCF of 4758,4191 is 3
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 4758/873, 4191/322?
Answer: GCF of Numerators as per given numbers 4758/873, 4191/322 is
GCF of Numerators i.e. for 4758,4191 is 3
LCM of denominators i.e. for 873,322 is 281106.
Thus, GCF of Fractions is 3/281106.Finally, GCF of Fractions for 4758/873, 4191/322 is 3/281106.