GCF of 9437/757, 6881/4119
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9437/757, 6881/4119 i.e 1/3118083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9437/757, 6881/4119.
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 9437/757,6881/4119?
Given fractions are 9437/757,6881/4119
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 9437/757,6881/4119, numerators are 9437,6881
Denominators are 757,4119
The GCF of 9437,6881 is 1 .
LCM of 757,4119 is 3118083.
The greatest common factor of 9437/757,6881/4119 = [GCF of 9437,6881]/[LCM of 757,4119]= 1/3118083
Therefore, the GCF of 9437/757,6881/4119 is 1/3118083.
To find the highest common factor of 9437,6881, we have to find the factors of both numbers and list the highest common factor.
The factors of 9437 are 1, 9437
The factors of 6881 are 1, 7, 983, 6881
The HCF of 9437,6881 is 1.
Lets's calculate GCF of 9437,6881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9437,6881 By Matching Biggest Common Factor Method
Now, list down the factors of 9437
:1,9437
Now, list down the factors of 6881
:1,7,983,6881
Greatest Common Factor
We found the factors 9437,6881 . The biggest common factor number is the GCF number.
So the greatest common factor 9437,6881 is 1.
Lets's calculate LCM of 757,4119
Given numbers has no common factors except 1. So, there LCM is their product i.e 3118083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3118083
Therefore, the GCF of Fractions 9437/757,6881/4119 is 1/3118083
Least Common Multiple of 757,4119 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 757,4119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,4119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,4119) x common factors =1 x 1 = 1
LCM(757,4119) = ( 757 × 4119 ) / 1
LCM(757,4119) = 3118083 / 1
LCM(757,4119) = 3118083
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FAQs on GCF of Fractions of 9437/757, 6881/4119
1. What is the HCF of 9437,6881?
The HCF of 9437,6881 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 9437/757, 6881/4119?
Answer: GCF of Numerators as per given numbers 9437/757, 6881/4119 is
GCF of Numerators i.e. for 9437,6881 is 1
LCM of denominators i.e. for 757,4119 is 3118083.
Thus, GCF of Fractions is 1/3118083.Finally, GCF of Fractions for 9437/757, 6881/4119 is 1/3118083.