GCF of 8998/491, 6931/2171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8998/491, 6931/2171 i.e 1/1065961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8998/491, 6931/2171.
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 8998/491,6931/2171?
Given fractions are 8998/491,6931/2171
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 8998/491,6931/2171, numerators are 8998,6931
Denominators are 491,2171
The GCF of 8998,6931 is 1 .
LCM of 491,2171 is 1065961.
The greatest common factor of 8998/491,6931/2171 = [GCF of 8998,6931]/[LCM of 491,2171]= 1/1065961
Therefore, the GCF of 8998/491,6931/2171 is 1/1065961.
To find the highest common factor of 8998,6931, we have to find the factors of both numbers and list the highest common factor.
The factors of 8998 are 1, 2, 11, 22, 409, 818, 4499, 8998
The factors of 6931 are 1, 29, 239, 6931
The HCF of 8998,6931 is 1.
Lets's calculate GCF of 8998,6931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8998,6931 By Matching Biggest Common Factor Method
Now, list down the factors of 8998
:1,2,11,22,409,818,4499,8998
Now, list down the factors of 6931
:1,29,239,6931
Greatest Common Factor
We found the factors 8998,6931 . The biggest common factor number is the GCF number.
So the greatest common factor 8998,6931 is 1.
Lets's calculate LCM of 491,2171
Given numbers has no common factors except 1. So, there LCM is their product i.e 1065961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1065961
Therefore, the GCF of Fractions 8998/491,6931/2171 is 1/1065961
Least Common Multiple of 491,2171 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 491,2171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,2171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,2171) x common factors =1 x 1 = 1
LCM(491,2171) = ( 491 × 2171 ) / 1
LCM(491,2171) = 1065961 / 1
LCM(491,2171) = 1065961
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FAQs on GCF of Fractions of 8998/491, 6931/2171
1. What is the HCF of 8998,6931?
The HCF of 8998,6931 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 8998/491, 6931/2171?
Answer: GCF of Numerators as per given numbers 8998/491, 6931/2171 is
GCF of Numerators i.e. for 8998,6931 is 1
LCM of denominators i.e. for 491,2171 is 1065961.
Thus, GCF of Fractions is 1/1065961.Finally, GCF of Fractions for 8998/491, 6931/2171 is 1/1065961.