GCF of 9333/278, 1297/7173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9333/278, 1297/7173 i.e 1/1994094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9333/278, 1297/7173.
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 9333/278,1297/7173?
Given fractions are 9333/278,1297/7173
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 9333/278,1297/7173, numerators are 9333,1297
Denominators are 278,7173
The GCF of 9333,1297 is 1 .
LCM of 278,7173 is 1994094.
The greatest common factor of 9333/278,1297/7173 = [GCF of 9333,1297]/[LCM of 278,7173]= 1/1994094
Therefore, the GCF of 9333/278,1297/7173 is 1/1994094.
To find the highest common factor of 9333,1297, we have to find the factors of both numbers and list the highest common factor.
The factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333
The factors of 1297 are 1, 1297
The HCF of 9333,1297 is 1.
Lets's calculate GCF of 9333,1297
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9333,1297 By Matching Biggest Common Factor Method
Now, list down the factors of 9333
:1,3,9,17,51,61,153,183,549,1037,3111,9333
Now, list down the factors of 1297
:1,1297
Greatest Common Factor
We found the factors 9333,1297 . The biggest common factor number is the GCF number.
So the greatest common factor 9333,1297 is 1.
Lets's calculate LCM of 278,7173
Given numbers has no common factors except 1. So, there LCM is their product i.e 1994094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1994094
Therefore, the GCF of Fractions 9333/278,1297/7173 is 1/1994094
Least Common Multiple of 278,7173 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 278,7173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,7173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,7173) x common factors =1 x 1 = 1
LCM(278,7173) = ( 278 × 7173 ) / 1
LCM(278,7173) = 1994094 / 1
LCM(278,7173) = 1994094
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FAQs on GCF of Fractions of 9333/278, 1297/7173
1. What is the HCF of 9333,1297?
The HCF of 9333,1297 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 9333/278, 1297/7173?
Answer: GCF of Numerators as per given numbers 9333/278, 1297/7173 is
GCF of Numerators i.e. for 9333,1297 is 1
LCM of denominators i.e. for 278,7173 is 1994094.
Thus, GCF of Fractions is 1/1994094.Finally, GCF of Fractions for 9333/278, 1297/7173 is 1/1994094.