GCF of 9001/971, 9855/102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9001/971, 9855/102 i.e 1/99042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9001/971, 9855/102.
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 9001/971,9855/102?
Given fractions are 9001/971,9855/102
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 9001/971,9855/102, numerators are 9001,9855
Denominators are 971,102
The GCF of 9001,9855 is 1 .
LCM of 971,102 is 99042.
The greatest common factor of 9001/971,9855/102 = [GCF of 9001,9855]/[LCM of 971,102]= 1/99042
Therefore, the GCF of 9001/971,9855/102 is 1/99042.
To find the highest common factor of 9001,9855, we have to find the factors of both numbers and list the highest common factor.
The factors of 9001 are 1, 9001
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The HCF of 9001,9855 is 1.
Lets's calculate GCF of 9001,9855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9001,9855 By Matching Biggest Common Factor Method
Now, list down the factors of 9001
:1,9001
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Greatest Common Factor
We found the factors 9001,9855 . The biggest common factor number is the GCF number.
So the greatest common factor 9001,9855 is 1.
Lets's calculate LCM of 971,102
Given numbers has no common factors except 1. So, there LCM is their product i.e 99042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99042
Therefore, the GCF of Fractions 9001/971,9855/102 is 1/99042
Least Common Multiple of 971,102 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 971,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,102) x common factors =1 x 1 = 1
LCM(971,102) = ( 971 × 102 ) / 1
LCM(971,102) = 99042 / 1
LCM(971,102) = 99042
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FAQs on GCF of Fractions of 9001/971, 9855/102
1. What is the HCF of 9001,9855?
The HCF of 9001,9855 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 9001/971, 9855/102?
Answer: GCF of Numerators as per given numbers 9001/971, 9855/102 is
GCF of Numerators i.e. for 9001,9855 is 1
LCM of denominators i.e. for 971,102 is 99042.
Thus, GCF of Fractions is 1/99042.Finally, GCF of Fractions for 9001/971, 9855/102 is 1/99042.