GCF of 9886/960, 1461/3886
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9886/960, 1461/3886 i.e 1/1865280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9886/960, 1461/3886.
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 9886/960,1461/3886?
Given fractions are 9886/960,1461/3886
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 9886/960,1461/3886, numerators are 9886,1461
Denominators are 960,3886
The GCF of 9886,1461 is 1 .
LCM of 960,3886 is 1865280.
The greatest common factor of 9886/960,1461/3886 = [GCF of 9886,1461]/[LCM of 960,3886]= 1/1865280
Therefore, the GCF of 9886/960,1461/3886 is 1/1865280.
To find the highest common factor of 9886,1461, we have to find the factors of both numbers and list the highest common factor.
The factors of 9886 are 1, 2, 4943, 9886
The factors of 1461 are 1, 3, 487, 1461
The HCF of 9886,1461 is 1.
Lets's calculate GCF of 9886,1461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9886,1461 By Matching Biggest Common Factor Method
Now, list down the factors of 9886
:1,2,4943,9886
Now, list down the factors of 1461
:1,3,487,1461
Greatest Common Factor
We found the factors 9886,1461 . The biggest common factor number is the GCF number.
So the greatest common factor 9886,1461 is 1.
Lets's calculate LCM of 960,3886
| 2 | 960, 3886 |
| 480, 1943 |
∴ So the LCM of the given numbers is 2 x 480 x 1943 = 1865280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1865280
Therefore, the GCF of Fractions 9886/960,1461/3886 is 1/1865280
Least Common Multiple of 960,3886 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 960,3886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,3886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,3886) x common factors =2 x 1 = 2
LCM(960,3886) = ( 960 × 3886 ) / 2
LCM(960,3886) = 3730560 / 2
LCM(960,3886) = 1865280
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FAQs on GCF of Fractions of 9886/960, 1461/3886
1. What is the HCF of 9886,1461?
The HCF of 9886,1461 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 9886/960, 1461/3886?
Answer: GCF of Numerators as per given numbers 9886/960, 1461/3886 is
GCF of Numerators i.e. for 9886,1461 is 1
LCM of denominators i.e. for 960,3886 is 1865280.
Thus, GCF of Fractions is 1/1865280.Finally, GCF of Fractions for 9886/960, 1461/3886 is 1/1865280.