GCF of 9099/211, 7651/5344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9099/211, 7651/5344 i.e 1/1127584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9099/211, 7651/5344.
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 9099/211,7651/5344?
Given fractions are 9099/211,7651/5344
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 9099/211,7651/5344, numerators are 9099,7651
Denominators are 211,5344
The GCF of 9099,7651 is 1 .
LCM of 211,5344 is 1127584.
The greatest common factor of 9099/211,7651/5344 = [GCF of 9099,7651]/[LCM of 211,5344]= 1/1127584
Therefore, the GCF of 9099/211,7651/5344 is 1/1127584.
To find the highest common factor of 9099,7651, we have to find the factors of both numbers and list the highest common factor.
The factors of 9099 are 1, 3, 9, 27, 337, 1011, 3033, 9099
The factors of 7651 are 1, 7, 1093, 7651
The HCF of 9099,7651 is 1.
Lets's calculate GCF of 9099,7651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9099,7651 By Matching Biggest Common Factor Method
Now, list down the factors of 9099
:1,3,9,27,337,1011,3033,9099
Now, list down the factors of 7651
:1,7,1093,7651
Greatest Common Factor
We found the factors 9099,7651 . The biggest common factor number is the GCF number.
So the greatest common factor 9099,7651 is 1.
Lets's calculate LCM of 211,5344
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127584
Therefore, the GCF of Fractions 9099/211,7651/5344 is 1/1127584
Least Common Multiple of 211,5344 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 211,5344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,5344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,5344) x common factors =1 x 1 = 1
LCM(211,5344) = ( 211 × 5344 ) / 1
LCM(211,5344) = 1127584 / 1
LCM(211,5344) = 1127584
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FAQs on GCF of Fractions of 9099/211, 7651/5344
1. What is the HCF of 9099,7651?
The HCF of 9099,7651 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 9099/211, 7651/5344?
Answer: GCF of Numerators as per given numbers 9099/211, 7651/5344 is
GCF of Numerators i.e. for 9099,7651 is 1
LCM of denominators i.e. for 211,5344 is 1127584.
Thus, GCF of Fractions is 1/1127584.Finally, GCF of Fractions for 9099/211, 7651/5344 is 1/1127584.