GCF of 9877/151, 8238/2191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9877/151, 8238/2191 i.e 1/330841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9877/151, 8238/2191.
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 9877/151,8238/2191?
Given fractions are 9877/151,8238/2191
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 9877/151,8238/2191, numerators are 9877,8238
Denominators are 151,2191
The GCF of 9877,8238 is 1 .
LCM of 151,2191 is 330841.
The greatest common factor of 9877/151,8238/2191 = [GCF of 9877,8238]/[LCM of 151,2191]= 1/330841
Therefore, the GCF of 9877/151,8238/2191 is 1/330841.
To find the highest common factor of 9877,8238, 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 8238 are 1, 2, 3, 6, 1373, 2746, 4119, 8238
The HCF of 9877,8238 is 1.
Lets's calculate GCF of 9877,8238
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9877,8238 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 8238
:1,2,3,6,1373,2746,4119,8238
Greatest Common Factor
We found the factors 9877,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 9877,8238 is 1.
Lets's calculate LCM of 151,2191
Given numbers has no common factors except 1. So, there LCM is their product i.e 330841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330841
Therefore, the GCF of Fractions 9877/151,8238/2191 is 1/330841
Least Common Multiple of 151,2191 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 151,2191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,2191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,2191) x common factors =1 x 1 = 1
LCM(151,2191) = ( 151 × 2191 ) / 1
LCM(151,2191) = 330841 / 1
LCM(151,2191) = 330841
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FAQs on GCF of Fractions of 9877/151, 8238/2191
1. What is the HCF of 9877,8238?
The HCF of 9877,8238 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 9877/151, 8238/2191?
Answer: GCF of Numerators as per given numbers 9877/151, 8238/2191 is
GCF of Numerators i.e. for 9877,8238 is 1
LCM of denominators i.e. for 151,2191 is 330841.
Thus, GCF of Fractions is 1/330841.Finally, GCF of Fractions for 9877/151, 8238/2191 is 1/330841.