GCF of 9367/121, 1327/784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9367/121, 1327/784 i.e 1/94864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9367/121, 1327/784.
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 9367/121,1327/784?
Given fractions are 9367/121,1327/784
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 9367/121,1327/784, numerators are 9367,1327
Denominators are 121,784
The GCF of 9367,1327 is 1 .
LCM of 121,784 is 94864.
The greatest common factor of 9367/121,1327/784 = [GCF of 9367,1327]/[LCM of 121,784]= 1/94864
Therefore, the GCF of 9367/121,1327/784 is 1/94864.
To find the highest common factor of 9367,1327, we have to find the factors of both numbers and list the highest common factor.
The factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367
The factors of 1327 are 1, 1327
The HCF of 9367,1327 is 1.
Lets's calculate GCF of 9367,1327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9367,1327 By Matching Biggest Common Factor Method
Now, list down the factors of 9367
:1,17,19,29,323,493,551,9367
Now, list down the factors of 1327
:1,1327
Greatest Common Factor
We found the factors 9367,1327 . The biggest common factor number is the GCF number.
So the greatest common factor 9367,1327 is 1.
Lets's calculate LCM of 121,784
Given numbers has no common factors except 1. So, there LCM is their product i.e 94864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94864
Therefore, the GCF of Fractions 9367/121,1327/784 is 1/94864
Least Common Multiple of 121,784 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 121,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,784) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,784) x common factors =1 x 1 = 1
LCM(121,784) = ( 121 × 784 ) / 1
LCM(121,784) = 94864 / 1
LCM(121,784) = 94864
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FAQs on GCF of Fractions of 9367/121, 1327/784
1. What is the HCF of 9367,1327?
The HCF of 9367,1327 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 9367/121, 1327/784?
Answer: GCF of Numerators as per given numbers 9367/121, 1327/784 is
GCF of Numerators i.e. for 9367,1327 is 1
LCM of denominators i.e. for 121,784 is 94864.
Thus, GCF of Fractions is 1/94864.Finally, GCF of Fractions for 9367/121, 1327/784 is 1/94864.