GCF of 515/93, 731/8318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 515/93, 731/8318 i.e 1/773574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/93, 731/8318.
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 515/93,731/8318?
Given fractions are 515/93,731/8318
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 515/93,731/8318, numerators are 515,731
Denominators are 93,8318
The GCF of 515,731 is 1 .
LCM of 93,8318 is 773574.
The greatest common factor of 515/93,731/8318 = [GCF of 515,731]/[LCM of 93,8318]= 1/773574
Therefore, the GCF of 515/93,731/8318 is 1/773574.
To find the highest common factor of 515,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 515 are 1, 5, 103, 515
The factors of 731 are 1, 17, 43, 731
The HCF of 515,731 is 1.
Lets's calculate GCF of 515,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 515,731 By Matching Biggest Common Factor Method
Now, list down the factors of 515
:1,5,103,515
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 515,731 . The biggest common factor number is the GCF number.
So the greatest common factor 515,731 is 1.
Lets's calculate LCM of 93,8318
Given numbers has no common factors except 1. So, there LCM is their product i.e 773574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/773574
Therefore, the GCF of Fractions 515/93,731/8318 is 1/773574
Least Common Multiple of 93,8318 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 93,8318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,8318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,8318) x common factors =1 x 1 = 1
LCM(93,8318) = ( 93 × 8318 ) / 1
LCM(93,8318) = 773574 / 1
LCM(93,8318) = 773574
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FAQs on GCF of Fractions of 515/93, 731/8318
1. What is the HCF of 515,731?
The HCF of 515,731 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 515/93, 731/8318?
Answer: GCF of Numerators as per given numbers 515/93, 731/8318 is
GCF of Numerators i.e. for 515,731 is 1
LCM of denominators i.e. for 93,8318 is 773574.
Thus, GCF of Fractions is 1/773574.Finally, GCF of Fractions for 515/93, 731/8318 is 1/773574.