GCF of 1414/313, 9886/9862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1414/313, 9886/9862 i.e 2/3086806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1414/313, 9886/9862.
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 1414/313,9886/9862?
Given fractions are 1414/313,9886/9862
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 1414/313,9886/9862, numerators are 1414,9886
Denominators are 313,9862
The GCF of 1414,9886 is 2 .
LCM of 313,9862 is 3086806.
The greatest common factor of 1414/313,9886/9862 = [GCF of 1414,9886]/[LCM of 313,9862]= 2/3086806
Therefore, the GCF of 1414/313,9886/9862 is 2/3086806.
To find the highest common factor of 1414,9886, we have to find the factors of both numbers and list the highest common factor.
The factors of 1414 are 1, 2, 7, 14, 101, 202, 707, 1414
The factors of 9886 are 1, 2, 4943, 9886
The HCF of 1414,9886 is 2.
Lets's calculate GCF of 1414,9886
| 2 | 1414, 9886 |
| 707, 4943 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1414,9886 By Matching Biggest Common Factor Method
Now, list down the factors of 1414
:1,2,7,14,101,202,707,1414
Now, list down the factors of 9886
:1,2,4943,9886
Greatest Common Factor
We found the factors 1414,9886 . The biggest common factor number is the GCF number.
So the greatest common factor 1414,9886 is 2.
Lets's calculate LCM of 313,9862
Given numbers has no common factors except 1. So, there LCM is their product i.e 3086806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3086806
Therefore, the GCF of Fractions 1414/313,9886/9862 is 2/3086806
Least Common Multiple of 313,9862 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 313,9862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,9862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,9862) x common factors =1 x 1 = 1
LCM(313,9862) = ( 313 × 9862 ) / 1
LCM(313,9862) = 3086806 / 1
LCM(313,9862) = 3086806
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FAQs on GCF of Fractions of 1414/313, 9886/9862
1. What is the HCF of 1414,9886?
The HCF of 1414,9886 is 2
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 1414/313, 9886/9862?
Answer: GCF of Numerators as per given numbers 1414/313, 9886/9862 is
GCF of Numerators i.e. for 1414,9886 is 2
LCM of denominators i.e. for 313,9862 is 3086806.
Thus, GCF of Fractions is 2/3086806.Finally, GCF of Fractions for 1414/313, 9886/9862 is 2/3086806.