GCF of 9872/701, 5501/6514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9872/701, 5501/6514 i.e 1/4566314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9872/701, 5501/6514.
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 9872/701,5501/6514?
Given fractions are 9872/701,5501/6514
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 9872/701,5501/6514, numerators are 9872,5501
Denominators are 701,6514
The GCF of 9872,5501 is 1 .
LCM of 701,6514 is 4566314.
The greatest common factor of 9872/701,5501/6514 = [GCF of 9872,5501]/[LCM of 701,6514]= 1/4566314
Therefore, the GCF of 9872/701,5501/6514 is 1/4566314.
To find the highest common factor of 9872,5501, we have to find the factors of both numbers and list the highest common factor.
The factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872
The factors of 5501 are 1, 5501
The HCF of 9872,5501 is 1.
Lets's calculate GCF of 9872,5501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9872,5501 By Matching Biggest Common Factor Method
Now, list down the factors of 9872
:1,2,4,8,16,617,1234,2468,4936,9872
Now, list down the factors of 5501
:1,5501
Greatest Common Factor
We found the factors 9872,5501 . The biggest common factor number is the GCF number.
So the greatest common factor 9872,5501 is 1.
Lets's calculate LCM of 701,6514
Given numbers has no common factors except 1. So, there LCM is their product i.e 4566314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4566314
Therefore, the GCF of Fractions 9872/701,5501/6514 is 1/4566314
Least Common Multiple of 701,6514 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 701,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,6514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,6514) x common factors =1 x 1 = 1
LCM(701,6514) = ( 701 × 6514 ) / 1
LCM(701,6514) = 4566314 / 1
LCM(701,6514) = 4566314
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FAQs on GCF of Fractions of 9872/701, 5501/6514
1. What is the HCF of 9872,5501?
The HCF of 9872,5501 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 9872/701, 5501/6514?
Answer: GCF of Numerators as per given numbers 9872/701, 5501/6514 is
GCF of Numerators i.e. for 9872,5501 is 1
LCM of denominators i.e. for 701,6514 is 4566314.
Thus, GCF of Fractions is 1/4566314.Finally, GCF of Fractions for 9872/701, 5501/6514 is 1/4566314.