GCF of 4001/286, 3891/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4001/286, 3891/632 i.e 1/90376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4001/286, 3891/632.
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 4001/286,3891/632?
Given fractions are 4001/286,3891/632
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 4001/286,3891/632, numerators are 4001,3891
Denominators are 286,632
The GCF of 4001,3891 is 1 .
LCM of 286,632 is 90376.
The greatest common factor of 4001/286,3891/632 = [GCF of 4001,3891]/[LCM of 286,632]= 1/90376
Therefore, the GCF of 4001/286,3891/632 is 1/90376.
To find the highest common factor of 4001,3891, we have to find the factors of both numbers and list the highest common factor.
The factors of 4001 are 1, 4001
The factors of 3891 are 1, 3, 1297, 3891
The HCF of 4001,3891 is 1.
Lets's calculate GCF of 4001,3891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4001,3891 By Matching Biggest Common Factor Method
Now, list down the factors of 4001
:1,4001
Now, list down the factors of 3891
:1,3,1297,3891
Greatest Common Factor
We found the factors 4001,3891 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,3891 is 1.
Lets's calculate LCM of 286,632
| 2 | 286, 632 |
| 143, 316 |
∴ So the LCM of the given numbers is 2 x 143 x 316 = 90376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90376
Therefore, the GCF of Fractions 4001/286,3891/632 is 1/90376
Least Common Multiple of 286,632 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 286,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,632) x common factors =2 x 1 = 2
LCM(286,632) = ( 286 × 632 ) / 2
LCM(286,632) = 180752 / 2
LCM(286,632) = 90376
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FAQs on GCF of Fractions of 4001/286, 3891/632
1. What is the HCF of 4001,3891?
The HCF of 4001,3891 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 4001/286, 3891/632?
Answer: GCF of Numerators as per given numbers 4001/286, 3891/632 is
GCF of Numerators i.e. for 4001,3891 is 1
LCM of denominators i.e. for 286,632 is 90376.
Thus, GCF of Fractions is 1/90376.Finally, GCF of Fractions for 4001/286, 3891/632 is 1/90376.