GCF of 9253/365, 3740/9539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9253/365, 3740/9539 i.e 1/3481735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9253/365, 3740/9539.
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 9253/365,3740/9539?
Given fractions are 9253/365,3740/9539
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 9253/365,3740/9539, numerators are 9253,3740
Denominators are 365,9539
The GCF of 9253,3740 is 1 .
LCM of 365,9539 is 3481735.
The greatest common factor of 9253/365,3740/9539 = [GCF of 9253,3740]/[LCM of 365,9539]= 1/3481735
Therefore, the GCF of 9253/365,3740/9539 is 1/3481735.
To find the highest common factor of 9253,3740, 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 3740 are 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740
The HCF of 9253,3740 is 1.
Lets's calculate GCF of 9253,3740
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9253,3740 By Matching Biggest Common Factor Method
Now, list down the factors of 9253
:1,19,487,9253
Now, list down the factors of 3740
:1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740
Greatest Common Factor
We found the factors 9253,3740 . The biggest common factor number is the GCF number.
So the greatest common factor 9253,3740 is 1.
Lets's calculate LCM of 365,9539
Given numbers has no common factors except 1. So, there LCM is their product i.e 3481735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3481735
Therefore, the GCF of Fractions 9253/365,3740/9539 is 1/3481735
Least Common Multiple of 365,9539 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 365,9539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,9539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,9539) x common factors =1 x 1 = 1
LCM(365,9539) = ( 365 × 9539 ) / 1
LCM(365,9539) = 3481735 / 1
LCM(365,9539) = 3481735
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FAQs on GCF of Fractions of 9253/365, 3740/9539
1. What is the HCF of 9253,3740?
The HCF of 9253,3740 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 9253/365, 3740/9539?
Answer: GCF of Numerators as per given numbers 9253/365, 3740/9539 is
GCF of Numerators i.e. for 9253,3740 is 1
LCM of denominators i.e. for 365,9539 is 3481735.
Thus, GCF of Fractions is 1/3481735.Finally, GCF of Fractions for 9253/365, 3740/9539 is 1/3481735.