GCF of 1115/289, 9612/6667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1115/289, 9612/6667 i.e 1/1926763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1115/289, 9612/6667.
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 1115/289,9612/6667?
Given fractions are 1115/289,9612/6667
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 1115/289,9612/6667, numerators are 1115,9612
Denominators are 289,6667
The GCF of 1115,9612 is 1 .
LCM of 289,6667 is 1926763.
The greatest common factor of 1115/289,9612/6667 = [GCF of 1115,9612]/[LCM of 289,6667]= 1/1926763
Therefore, the GCF of 1115/289,9612/6667 is 1/1926763.
To find the highest common factor of 1115,9612, we have to find the factors of both numbers and list the highest common factor.
The factors of 1115 are 1, 5, 223, 1115
The factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612
The HCF of 1115,9612 is 1.
Lets's calculate GCF of 1115,9612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1115,9612 By Matching Biggest Common Factor Method
Now, list down the factors of 1115
:1,5,223,1115
Now, list down the factors of 9612
:1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612
Greatest Common Factor
We found the factors 1115,9612 . The biggest common factor number is the GCF number.
So the greatest common factor 1115,9612 is 1.
Lets's calculate LCM of 289,6667
Given numbers has no common factors except 1. So, there LCM is their product i.e 1926763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1926763
Therefore, the GCF of Fractions 1115/289,9612/6667 is 1/1926763
Least Common Multiple of 289,6667 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 289,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,6667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,6667) x common factors =1 x 1 = 1
LCM(289,6667) = ( 289 × 6667 ) / 1
LCM(289,6667) = 1926763 / 1
LCM(289,6667) = 1926763
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FAQs on GCF of Fractions of 1115/289, 9612/6667
1. What is the HCF of 1115,9612?
The HCF of 1115,9612 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 1115/289, 9612/6667?
Answer: GCF of Numerators as per given numbers 1115/289, 9612/6667 is
GCF of Numerators i.e. for 1115,9612 is 1
LCM of denominators i.e. for 289,6667 is 1926763.
Thus, GCF of Fractions is 1/1926763.Finally, GCF of Fractions for 1115/289, 9612/6667 is 1/1926763.