GCF of 9761/997, 9135/1113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9761/997, 9135/1113 i.e 1/1109661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9761/997, 9135/1113.
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 9761/997,9135/1113?
Given fractions are 9761/997,9135/1113
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 9761/997,9135/1113, numerators are 9761,9135
Denominators are 997,1113
The GCF of 9761,9135 is 1 .
LCM of 997,1113 is 1109661.
The greatest common factor of 9761/997,9135/1113 = [GCF of 9761,9135]/[LCM of 997,1113]= 1/1109661
Therefore, the GCF of 9761/997,9135/1113 is 1/1109661.
To find the highest common factor of 9761,9135, we have to find the factors of both numbers and list the highest common factor.
The factors of 9761 are 1, 43, 227, 9761
The factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
The HCF of 9761,9135 is 1.
Lets's calculate GCF of 9761,9135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9761,9135 By Matching Biggest Common Factor Method
Now, list down the factors of 9761
:1,43,227,9761
Now, list down the factors of 9135
:1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Greatest Common Factor
We found the factors 9761,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 9761,9135 is 1.
Lets's calculate LCM of 997,1113
Given numbers has no common factors except 1. So, there LCM is their product i.e 1109661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1109661
Therefore, the GCF of Fractions 9761/997,9135/1113 is 1/1109661
Least Common Multiple of 997,1113 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 997,1113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,1113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,1113) x common factors =1 x 1 = 1
LCM(997,1113) = ( 997 × 1113 ) / 1
LCM(997,1113) = 1109661 / 1
LCM(997,1113) = 1109661
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FAQs on GCF of Fractions of 9761/997, 9135/1113
1. What is the HCF of 9761,9135?
The HCF of 9761,9135 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 9761/997, 9135/1113?
Answer: GCF of Numerators as per given numbers 9761/997, 9135/1113 is
GCF of Numerators i.e. for 9761,9135 is 1
LCM of denominators i.e. for 997,1113 is 1109661.
Thus, GCF of Fractions is 1/1109661.Finally, GCF of Fractions for 9761/997, 9135/1113 is 1/1109661.