GCF of 72/253, 515/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 72/253, 515/995 i.e 1/251735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/253, 515/995.
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 72/253,515/995?
Given fractions are 72/253,515/995
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 72/253,515/995, numerators are 72,515
Denominators are 253,995
The GCF of 72,515 is 1 .
LCM of 253,995 is 251735.
The greatest common factor of 72/253,515/995 = [GCF of 72,515]/[LCM of 253,995]= 1/251735
Therefore, the GCF of 72/253,515/995 is 1/251735.
To find the highest common factor of 72,515, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 515 are 1, 5, 103, 515
The HCF of 72,515 is 1.
Lets's calculate GCF of 72,515
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 72,515 By Matching Biggest Common Factor Method
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 515
:1,5,103,515
Greatest Common Factor
We found the factors 72,515 . The biggest common factor number is the GCF number.
So the greatest common factor 72,515 is 1.
Lets's calculate LCM of 253,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 251735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251735
Therefore, the GCF of Fractions 72/253,515/995 is 1/251735
Least Common Multiple of 253,995 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 253,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,995) x common factors =1 x 1 = 1
LCM(253,995) = ( 253 × 995 ) / 1
LCM(253,995) = 251735 / 1
LCM(253,995) = 251735
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FAQs on GCF of Fractions of 72/253, 515/995
1. What is the HCF of 72,515?
The HCF of 72,515 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 72/253, 515/995?
Answer: GCF of Numerators as per given numbers 72/253, 515/995 is
GCF of Numerators i.e. for 72,515 is 1
LCM of denominators i.e. for 253,995 is 251735.
Thus, GCF of Fractions is 1/251735.Finally, GCF of Fractions for 72/253, 515/995 is 1/251735.