GCF of 9347/470, 7032/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9347/470, 7032/497 i.e 1/233590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9347/470, 7032/497.
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 9347/470,7032/497?
Given fractions are 9347/470,7032/497
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 9347/470,7032/497, numerators are 9347,7032
Denominators are 470,497
The GCF of 9347,7032 is 1 .
LCM of 470,497 is 233590.
The greatest common factor of 9347/470,7032/497 = [GCF of 9347,7032]/[LCM of 470,497]= 1/233590
Therefore, the GCF of 9347/470,7032/497 is 1/233590.
To find the highest common factor of 9347,7032, we have to find the factors of both numbers and list the highest common factor.
The factors of 9347 are 1, 13, 719, 9347
The factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032
The HCF of 9347,7032 is 1.
Lets's calculate GCF of 9347,7032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9347,7032 By Matching Biggest Common Factor Method
Now, list down the factors of 9347
:1,13,719,9347
Now, list down the factors of 7032
:1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Greatest Common Factor
We found the factors 9347,7032 . The biggest common factor number is the GCF number.
So the greatest common factor 9347,7032 is 1.
Lets's calculate LCM of 470,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 233590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233590
Therefore, the GCF of Fractions 9347/470,7032/497 is 1/233590
Least Common Multiple of 470,497 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 470,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(470,497) x common factors =1 x 1 = 1
LCM(470,497) = ( 470 × 497 ) / 1
LCM(470,497) = 233590 / 1
LCM(470,497) = 233590
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FAQs on GCF of Fractions of 9347/470, 7032/497
1. What is the HCF of 9347,7032?
The HCF of 9347,7032 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 9347/470, 7032/497?
Answer: GCF of Numerators as per given numbers 9347/470, 7032/497 is
GCF of Numerators i.e. for 9347,7032 is 1
LCM of denominators i.e. for 470,497 is 233590.
Thus, GCF of Fractions is 1/233590.Finally, GCF of Fractions for 9347/470, 7032/497 is 1/233590.