GCF of 9253/733, 6178/6060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9253/733, 6178/6060 i.e 1/4441980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9253/733, 6178/6060.
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 9253/733,6178/6060?
Given fractions are 9253/733,6178/6060
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 9253/733,6178/6060, numerators are 9253,6178
Denominators are 733,6060
The GCF of 9253,6178 is 1 .
LCM of 733,6060 is 4441980.
The greatest common factor of 9253/733,6178/6060 = [GCF of 9253,6178]/[LCM of 733,6060]= 1/4441980
Therefore, the GCF of 9253/733,6178/6060 is 1/4441980.
To find the highest common factor of 9253,6178, we have to find the factors of both numbers and list the highest common factor.
The factors of 9253 are 1, 19, 487, 9253
The factors of 6178 are 1, 2, 3089, 6178
The HCF of 9253,6178 is 1.
Lets's calculate GCF of 9253,6178
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9253,6178 By Matching Biggest Common Factor Method
Now, list down the factors of 9253
:1,19,487,9253
Now, list down the factors of 6178
:1,2,3089,6178
Greatest Common Factor
We found the factors 9253,6178 . The biggest common factor number is the GCF number.
So the greatest common factor 9253,6178 is 1.
Lets's calculate LCM of 733,6060
Given numbers has no common factors except 1. So, there LCM is their product i.e 4441980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4441980
Therefore, the GCF of Fractions 9253/733,6178/6060 is 1/4441980
Least Common Multiple of 733,6060 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 733,6060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,6060) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,6060) x common factors =1 x 1 = 1
LCM(733,6060) = ( 733 × 6060 ) / 1
LCM(733,6060) = 4441980 / 1
LCM(733,6060) = 4441980
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FAQs on GCF of Fractions of 9253/733, 6178/6060
1. What is the HCF of 9253,6178?
The HCF of 9253,6178 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 9253/733, 6178/6060?
Answer: GCF of Numerators as per given numbers 9253/733, 6178/6060 is
GCF of Numerators i.e. for 9253,6178 is 1
LCM of denominators i.e. for 733,6060 is 4441980.
Thus, GCF of Fractions is 1/4441980.Finally, GCF of Fractions for 9253/733, 6178/6060 is 1/4441980.