GCF of 4332/748, 4891/5682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4332/748, 4891/5682 i.e 1/2125068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4332/748, 4891/5682.
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 4332/748,4891/5682?
Given fractions are 4332/748,4891/5682
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 4332/748,4891/5682, numerators are 4332,4891
Denominators are 748,5682
The GCF of 4332,4891 is 1 .
LCM of 748,5682 is 2125068.
The greatest common factor of 4332/748,4891/5682 = [GCF of 4332,4891]/[LCM of 748,5682]= 1/2125068
Therefore, the GCF of 4332/748,4891/5682 is 1/2125068.
To find the highest common factor of 4332,4891, we have to find the factors of both numbers and list the highest common factor.
The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332
The factors of 4891 are 1, 67, 73, 4891
The HCF of 4332,4891 is 1.
Lets's calculate GCF of 4332,4891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4332,4891 By Matching Biggest Common Factor Method
Now, list down the factors of 4332
:1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Now, list down the factors of 4891
:1,67,73,4891
Greatest Common Factor
We found the factors 4332,4891 . The biggest common factor number is the GCF number.
So the greatest common factor 4332,4891 is 1.
Lets's calculate LCM of 748,5682
| 2 | 748, 5682 |
| 374, 2841 |
∴ So the LCM of the given numbers is 2 x 374 x 2841 = 2125068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2125068
Therefore, the GCF of Fractions 4332/748,4891/5682 is 1/2125068
Least Common Multiple of 748,5682 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 748,5682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5682) x common factors =2 x 1 = 2
LCM(748,5682) = ( 748 × 5682 ) / 2
LCM(748,5682) = 4250136 / 2
LCM(748,5682) = 2125068
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FAQs on GCF of Fractions of 4332/748, 4891/5682
1. What is the HCF of 4332,4891?
The HCF of 4332,4891 is 1
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 4332/748, 4891/5682?
Answer: GCF of Numerators as per given numbers 4332/748, 4891/5682 is
GCF of Numerators i.e. for 4332,4891 is 1
LCM of denominators i.e. for 748,5682 is 2125068.
Thus, GCF of Fractions is 1/2125068.Finally, GCF of Fractions for 4332/748, 4891/5682 is 1/2125068.