GCF of 9377/141, 4018/7932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9377/141, 4018/7932 i.e 1/372804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9377/141, 4018/7932.
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 9377/141,4018/7932?
Given fractions are 9377/141,4018/7932
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 9377/141,4018/7932, numerators are 9377,4018
Denominators are 141,7932
The GCF of 9377,4018 is 1 .
LCM of 141,7932 is 372804.
The greatest common factor of 9377/141,4018/7932 = [GCF of 9377,4018]/[LCM of 141,7932]= 1/372804
Therefore, the GCF of 9377/141,4018/7932 is 1/372804.
To find the highest common factor of 9377,4018, we have to find the factors of both numbers and list the highest common factor.
The factors of 9377 are 1, 9377
The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018
The HCF of 9377,4018 is 1.
Lets's calculate GCF of 9377,4018
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9377,4018 By Matching Biggest Common Factor Method
Now, list down the factors of 9377
:1,9377
Now, list down the factors of 4018
:1,2,7,14,41,49,82,98,287,574,2009,4018
Greatest Common Factor
We found the factors 9377,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 9377,4018 is 1.
Lets's calculate LCM of 141,7932
| 3 | 141, 7932 |
| 47, 2644 |
∴ So the LCM of the given numbers is 3 x 47 x 2644 = 372804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372804
Therefore, the GCF of Fractions 9377/141,4018/7932 is 1/372804
Least Common Multiple of 141,7932 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 141,7932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,7932) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,7932) x common factors =3 x 1 = 3
LCM(141,7932) = ( 141 × 7932 ) / 3
LCM(141,7932) = 1118412 / 3
LCM(141,7932) = 372804
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FAQs on GCF of Fractions of 9377/141, 4018/7932
1. What is the HCF of 9377,4018?
The HCF of 9377,4018 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 9377/141, 4018/7932?
Answer: GCF of Numerators as per given numbers 9377/141, 4018/7932 is
GCF of Numerators i.e. for 9377,4018 is 1
LCM of denominators i.e. for 141,7932 is 372804.
Thus, GCF of Fractions is 1/372804.Finally, GCF of Fractions for 9377/141, 4018/7932 is 1/372804.