GCF of 13/305, 73/398, 702/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/305, 73/398, 702/871 i.e 1/105730690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/305, 73/398, 702/871.
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 13/305,73/398,702/871?
Given fractions are 13/305,73/398,702/871
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 13/305,73/398,702/871, numerators are 13,73,702
Denominators are 305,398,871
The GCF of 13,73,702 is 1 .
LCM of 305,398,871 is 105730690.
The greatest common factor of 13/305,73/398,702/871 = [GCF of 13,73,702]/[LCM of 305,398,871]= 1/105730690
Therefore, the GCF of 13/305,73/398,702/871 is 1/105730690.
To find the highest common factor of 13,73,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 73 are 1, 73
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 13,73,702 is 1.
Lets's calculate GCF of 13,73,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,73,702 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 73
:1,73
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 13,73,702 . The biggest common factor number is the GCF number.
So the greatest common factor 13,73,702 is 1.
Lets's calculate LCM of 305,398,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 105730690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105730690
Therefore, the GCF of Fractions 13/305,73/398,702/871 is 1/105730690
Least Common Multiple of 305,398,871 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 305,398,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,398,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,398,871) x common factors =1 x 1 = 1
LCM(305,398,871) = ( 305 × 398 × 871 ) / 1
LCM(305,398,871) = 105730690 / 1
LCM(305,398,871) = 105730690
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FAQs on GCF of Fractions of 13/305, 73/398, 702/871
1. What is the HCF of 13,73,702?
The HCF of 13,73,702 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 13/305, 73/398, 702/871?
Answer: GCF of Numerators as per given numbers 13/305, 73/398, 702/871 is
GCF of Numerators i.e. for 13,73,702 is 1
LCM of denominators i.e. for 305,398,871 is 105730690.
Thus, GCF of Fractions is 1/105730690.Finally, GCF of Fractions for 13/305, 73/398, 702/871 is 1/105730690.