GCF of 3941/970, 9051/4103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3941/970, 9051/4103 i.e 7/3979910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3941/970, 9051/4103.
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 3941/970,9051/4103?
Given fractions are 3941/970,9051/4103
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 3941/970,9051/4103, numerators are 3941,9051
Denominators are 970,4103
The GCF of 3941,9051 is 7 .
LCM of 970,4103 is 3979910.
The greatest common factor of 3941/970,9051/4103 = [GCF of 3941,9051]/[LCM of 970,4103]= 7/3979910
Therefore, the GCF of 3941/970,9051/4103 is 7/3979910.
To find the highest common factor of 3941,9051, we have to find the factors of both numbers and list the highest common factor.
The factors of 3941 are 1, 7, 563, 3941
The factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051
The HCF of 3941,9051 is 7.
Lets's calculate GCF of 3941,9051
| 7 | 3941, 9051 |
| 563, 1293 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3941,9051 By Matching Biggest Common Factor Method
Now, list down the factors of 3941
:1,7,563,3941
Now, list down the factors of 9051
:1,3,7,21,431,1293,3017,9051
Greatest Common Factor
We found the factors 3941,9051 . The biggest common factor number is the GCF number.
So the greatest common factor 3941,9051 is 7.
Lets's calculate LCM of 970,4103
Given numbers has no common factors except 1. So, there LCM is their product i.e 3979910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3979910
Therefore, the GCF of Fractions 3941/970,9051/4103 is 7/3979910
Least Common Multiple of 970,4103 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 970,4103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,4103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,4103) x common factors =1 x 1 = 1
LCM(970,4103) = ( 970 × 4103 ) / 1
LCM(970,4103) = 3979910 / 1
LCM(970,4103) = 3979910
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FAQs on GCF of Fractions of 3941/970, 9051/4103
1. What is the HCF of 3941,9051?
The HCF of 3941,9051 is 7
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 3941/970, 9051/4103?
Answer: GCF of Numerators as per given numbers 3941/970, 9051/4103 is
GCF of Numerators i.e. for 3941,9051 is 7
LCM of denominators i.e. for 970,4103 is 3979910.
Thus, GCF of Fractions is 7/3979910.Finally, GCF of Fractions for 3941/970, 9051/4103 is 7/3979910.