GCF of 9271/147, 2767/3163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9271/147, 2767/3163 i.e 1/464961 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9271/147, 2767/3163.
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 9271/147,2767/3163?
Given fractions are 9271/147,2767/3163
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 9271/147,2767/3163, numerators are 9271,2767
Denominators are 147,3163
The GCF of 9271,2767 is 1 .
LCM of 147,3163 is 464961.
The greatest common factor of 9271/147,2767/3163 = [GCF of 9271,2767]/[LCM of 147,3163]= 1/464961
Therefore, the GCF of 9271/147,2767/3163 is 1/464961.
To find the highest common factor of 9271,2767, we have to find the factors of both numbers and list the highest common factor.
The factors of 9271 are 1, 73, 127, 9271
The factors of 2767 are 1, 2767
The HCF of 9271,2767 is 1.
Lets's calculate GCF of 9271,2767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9271,2767 By Matching Biggest Common Factor Method
Now, list down the factors of 9271
:1,73,127,9271
Now, list down the factors of 2767
:1,2767
Greatest Common Factor
We found the factors 9271,2767 . The biggest common factor number is the GCF number.
So the greatest common factor 9271,2767 is 1.
Lets's calculate LCM of 147,3163
Given numbers has no common factors except 1. So, there LCM is their product i.e 464961
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464961
Therefore, the GCF of Fractions 9271/147,2767/3163 is 1/464961
Least Common Multiple of 147,3163 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 147,3163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,3163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,3163) x common factors =1 x 1 = 1
LCM(147,3163) = ( 147 × 3163 ) / 1
LCM(147,3163) = 464961 / 1
LCM(147,3163) = 464961
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FAQs on GCF of Fractions of 9271/147, 2767/3163
1. What is the HCF of 9271,2767?
The HCF of 9271,2767 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 9271/147, 2767/3163?
Answer: GCF of Numerators as per given numbers 9271/147, 2767/3163 is
GCF of Numerators i.e. for 9271,2767 is 1
LCM of denominators i.e. for 147,3163 is 464961.
Thus, GCF of Fractions is 1/464961.Finally, GCF of Fractions for 9271/147, 2767/3163 is 1/464961.