GCF of 3881/121, 7714/908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3881/121, 7714/908 i.e 1/109868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3881/121, 7714/908.
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 3881/121,7714/908?
Given fractions are 3881/121,7714/908
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 3881/121,7714/908, numerators are 3881,7714
Denominators are 121,908
The GCF of 3881,7714 is 1 .
LCM of 121,908 is 109868.
The greatest common factor of 3881/121,7714/908 = [GCF of 3881,7714]/[LCM of 121,908]= 1/109868
Therefore, the GCF of 3881/121,7714/908 is 1/109868.
To find the highest common factor of 3881,7714, we have to find the factors of both numbers and list the highest common factor.
The factors of 3881 are 1, 3881
The factors of 7714 are 1, 2, 7, 14, 19, 29, 38, 58, 133, 203, 266, 406, 551, 1102, 3857, 7714
The HCF of 3881,7714 is 1.
Lets's calculate GCF of 3881,7714
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3881,7714 By Matching Biggest Common Factor Method
Now, list down the factors of 3881
:1,3881
Now, list down the factors of 7714
:1,2,7,14,19,29,38,58,133,203,266,406,551,1102,3857,7714
Greatest Common Factor
We found the factors 3881,7714 . The biggest common factor number is the GCF number.
So the greatest common factor 3881,7714 is 1.
Lets's calculate LCM of 121,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 109868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109868
Therefore, the GCF of Fractions 3881/121,7714/908 is 1/109868
Least Common Multiple of 121,908 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 121,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,908) x common factors =1 x 1 = 1
LCM(121,908) = ( 121 × 908 ) / 1
LCM(121,908) = 109868 / 1
LCM(121,908) = 109868
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FAQs on GCF of Fractions of 3881/121, 7714/908
1. What is the HCF of 3881,7714?
The HCF of 3881,7714 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 3881/121, 7714/908?
Answer: GCF of Numerators as per given numbers 3881/121, 7714/908 is
GCF of Numerators i.e. for 3881,7714 is 1
LCM of denominators i.e. for 121,908 is 109868.
Thus, GCF of Fractions is 1/109868.Finally, GCF of Fractions for 3881/121, 7714/908 is 1/109868.