GCF of 9877/309, 2078/887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9877/309, 2078/887 i.e 1/274083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9877/309, 2078/887.
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 9877/309,2078/887?
Given fractions are 9877/309,2078/887
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 9877/309,2078/887, numerators are 9877,2078
Denominators are 309,887
The GCF of 9877,2078 is 1 .
LCM of 309,887 is 274083.
The greatest common factor of 9877/309,2078/887 = [GCF of 9877,2078]/[LCM of 309,887]= 1/274083
Therefore, the GCF of 9877/309,2078/887 is 1/274083.
To find the highest common factor of 9877,2078, we have to find the factors of both numbers and list the highest common factor.
The factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877
The factors of 2078 are 1, 2, 1039, 2078
The HCF of 9877,2078 is 1.
Lets's calculate GCF of 9877,2078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9877,2078 By Matching Biggest Common Factor Method
Now, list down the factors of 9877
:1,7,17,83,119,581,1411,9877
Now, list down the factors of 2078
:1,2,1039,2078
Greatest Common Factor
We found the factors 9877,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 9877,2078 is 1.
Lets's calculate LCM of 309,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 274083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274083
Therefore, the GCF of Fractions 9877/309,2078/887 is 1/274083
Least Common Multiple of 309,887 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 309,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,887) x common factors =1 x 1 = 1
LCM(309,887) = ( 309 × 887 ) / 1
LCM(309,887) = 274083 / 1
LCM(309,887) = 274083
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FAQs on GCF of Fractions of 9877/309, 2078/887
1. What is the HCF of 9877,2078?
The HCF of 9877,2078 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 9877/309, 2078/887?
Answer: GCF of Numerators as per given numbers 9877/309, 2078/887 is
GCF of Numerators i.e. for 9877,2078 is 1
LCM of denominators i.e. for 309,887 is 274083.
Thus, GCF of Fractions is 1/274083.Finally, GCF of Fractions for 9877/309, 2078/887 is 1/274083.