GCF of 731/83, 116/98, 317/313
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 731/83, 116/98, 317/313 i.e 1/2545942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 731/83, 116/98, 317/313.
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 731/83,116/98,317/313?
Given fractions are 731/83,116/98,317/313
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 731/83,116/98,317/313, numerators are 731,116,317
Denominators are 83,98,313
The GCF of 731,116,317 is 1 .
LCM of 83,98,313 is 2545942.
The greatest common factor of 731/83,116/98,317/313 = [GCF of 731,116,317]/[LCM of 83,98,313]= 1/2545942
Therefore, the GCF of 731/83,116/98,317/313 is 1/2545942.
To find the highest common factor of 731,116,317, we have to find the factors of both numbers and list the highest common factor.
The factors of 731 are 1, 17, 43, 731
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 317 are 1, 317
The HCF of 731,116,317 is 1.
Lets's calculate GCF of 731,116,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 731,116,317 By Matching Biggest Common Factor Method
Now, list down the factors of 731
:1,17,43,731
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 317
:1,317
Greatest Common Factor
We found the factors 731,116,317 . The biggest common factor number is the GCF number.
So the greatest common factor 731,116,317 is 1.
Lets's calculate LCM of 83,98,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 2545942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2545942
Therefore, the GCF of Fractions 731/83,116/98,317/313 is 1/2545942
Least Common Multiple of 83,98,313 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 83,98,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,98,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,98,313) x common factors =1 x 1 = 1
LCM(83,98,313) = ( 83 × 98 × 313 ) / 1
LCM(83,98,313) = 2545942 / 1
LCM(83,98,313) = 2545942
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FAQs on GCF of Fractions of 731/83, 116/98, 317/313
1. What is the HCF of 731,116,317?
The HCF of 731,116,317 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 731/83, 116/98, 317/313?
Answer: GCF of Numerators as per given numbers 731/83, 116/98, 317/313 is
GCF of Numerators i.e. for 731,116,317 is 1
LCM of denominators i.e. for 83,98,313 is 2545942.
Thus, GCF of Fractions is 1/2545942.Finally, GCF of Fractions for 731/83, 116/98, 317/313 is 1/2545942.