GCF of 3891/941, 8633/3890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3891/941, 8633/3890 i.e 1/3660490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3891/941, 8633/3890.
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 3891/941,8633/3890?
Given fractions are 3891/941,8633/3890
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 3891/941,8633/3890, numerators are 3891,8633
Denominators are 941,3890
The GCF of 3891,8633 is 1 .
LCM of 941,3890 is 3660490.
The greatest common factor of 3891/941,8633/3890 = [GCF of 3891,8633]/[LCM of 941,3890]= 1/3660490
Therefore, the GCF of 3891/941,8633/3890 is 1/3660490.
To find the highest common factor of 3891,8633, we have to find the factors of both numbers and list the highest common factor.
The factors of 3891 are 1, 3, 1297, 3891
The factors of 8633 are 1, 89, 97, 8633
The HCF of 3891,8633 is 1.
Lets's calculate GCF of 3891,8633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3891,8633 By Matching Biggest Common Factor Method
Now, list down the factors of 3891
:1,3,1297,3891
Now, list down the factors of 8633
:1,89,97,8633
Greatest Common Factor
We found the factors 3891,8633 . The biggest common factor number is the GCF number.
So the greatest common factor 3891,8633 is 1.
Lets's calculate LCM of 941,3890
Given numbers has no common factors except 1. So, there LCM is their product i.e 3660490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3660490
Therefore, the GCF of Fractions 3891/941,8633/3890 is 1/3660490
Least Common Multiple of 941,3890 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 941,3890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,3890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,3890) x common factors =1 x 1 = 1
LCM(941,3890) = ( 941 × 3890 ) / 1
LCM(941,3890) = 3660490 / 1
LCM(941,3890) = 3660490
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FAQs on GCF of Fractions of 3891/941, 8633/3890
1. What is the HCF of 3891,8633?
The HCF of 3891,8633 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 3891/941, 8633/3890?
Answer: GCF of Numerators as per given numbers 3891/941, 8633/3890 is
GCF of Numerators i.e. for 3891,8633 is 1
LCM of denominators i.e. for 941,3890 is 3660490.
Thus, GCF of Fractions is 1/3660490.Finally, GCF of Fractions for 3891/941, 8633/3890 is 1/3660490.