GCF of 8721/312, 7135/8345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8721/312, 7135/8345 i.e 1/2603640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8721/312, 7135/8345.
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 8721/312,7135/8345?
Given fractions are 8721/312,7135/8345
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 8721/312,7135/8345, numerators are 8721,7135
Denominators are 312,8345
The GCF of 8721,7135 is 1 .
LCM of 312,8345 is 2603640.
The greatest common factor of 8721/312,7135/8345 = [GCF of 8721,7135]/[LCM of 312,8345]= 1/2603640
Therefore, the GCF of 8721/312,7135/8345 is 1/2603640.
To find the highest common factor of 8721,7135, we have to find the factors of both numbers and list the highest common factor.
The factors of 8721 are 1, 3, 9, 17, 19, 27, 51, 57, 153, 171, 323, 459, 513, 969, 2907, 8721
The factors of 7135 are 1, 5, 1427, 7135
The HCF of 8721,7135 is 1.
Lets's calculate GCF of 8721,7135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8721,7135 By Matching Biggest Common Factor Method
Now, list down the factors of 8721
:1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Now, list down the factors of 7135
:1,5,1427,7135
Greatest Common Factor
We found the factors 8721,7135 . The biggest common factor number is the GCF number.
So the greatest common factor 8721,7135 is 1.
Lets's calculate LCM of 312,8345
Given numbers has no common factors except 1. So, there LCM is their product i.e 2603640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2603640
Therefore, the GCF of Fractions 8721/312,7135/8345 is 1/2603640
Least Common Multiple of 312,8345 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 312,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,8345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,8345) x common factors =1 x 1 = 1
LCM(312,8345) = ( 312 × 8345 ) / 1
LCM(312,8345) = 2603640 / 1
LCM(312,8345) = 2603640
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FAQs on GCF of Fractions of 8721/312, 7135/8345
1. What is the HCF of 8721,7135?
The HCF of 8721,7135 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 8721/312, 7135/8345?
Answer: GCF of Numerators as per given numbers 8721/312, 7135/8345 is
GCF of Numerators i.e. for 8721,7135 is 1
LCM of denominators i.e. for 312,8345 is 2603640.
Thus, GCF of Fractions is 1/2603640.Finally, GCF of Fractions for 8721/312, 7135/8345 is 1/2603640.