GCF of 4871/660, 7665/7987
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4871/660, 7665/7987 i.e 1/5271420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4871/660, 7665/7987.
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 4871/660,7665/7987?
Given fractions are 4871/660,7665/7987
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 4871/660,7665/7987, numerators are 4871,7665
Denominators are 660,7987
The GCF of 4871,7665 is 1 .
LCM of 660,7987 is 5271420.
The greatest common factor of 4871/660,7665/7987 = [GCF of 4871,7665]/[LCM of 660,7987]= 1/5271420
Therefore, the GCF of 4871/660,7665/7987 is 1/5271420.
To find the highest common factor of 4871,7665, we have to find the factors of both numbers and list the highest common factor.
The factors of 4871 are 1, 4871
The factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665
The HCF of 4871,7665 is 1.
Lets's calculate GCF of 4871,7665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4871,7665 By Matching Biggest Common Factor Method
Now, list down the factors of 4871
:1,4871
Now, list down the factors of 7665
:1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665
Greatest Common Factor
We found the factors 4871,7665 . The biggest common factor number is the GCF number.
So the greatest common factor 4871,7665 is 1.
Lets's calculate LCM of 660,7987
Given numbers has no common factors except 1. So, there LCM is their product i.e 5271420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5271420
Therefore, the GCF of Fractions 4871/660,7665/7987 is 1/5271420
Least Common Multiple of 660,7987 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 660,7987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,7987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(660,7987) x common factors =1 x 1 = 1
LCM(660,7987) = ( 660 × 7987 ) / 1
LCM(660,7987) = 5271420 / 1
LCM(660,7987) = 5271420
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FAQs on GCF of Fractions of 4871/660, 7665/7987
1. What is the HCF of 4871,7665?
The HCF of 4871,7665 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 4871/660, 7665/7987?
Answer: GCF of Numerators as per given numbers 4871/660, 7665/7987 is
GCF of Numerators i.e. for 4871,7665 is 1
LCM of denominators i.e. for 660,7987 is 5271420.
Thus, GCF of Fractions is 1/5271420.Finally, GCF of Fractions for 4871/660, 7665/7987 is 1/5271420.