GCF of 2713/875, 8519/5519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2713/875, 8519/5519 i.e 1/4829125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2713/875, 8519/5519.
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 2713/875,8519/5519?
Given fractions are 2713/875,8519/5519
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 2713/875,8519/5519, numerators are 2713,8519
Denominators are 875,5519
The GCF of 2713,8519 is 1 .
LCM of 875,5519 is 4829125.
The greatest common factor of 2713/875,8519/5519 = [GCF of 2713,8519]/[LCM of 875,5519]= 1/4829125
Therefore, the GCF of 2713/875,8519/5519 is 1/4829125.
To find the highest common factor of 2713,8519, we have to find the factors of both numbers and list the highest common factor.
The factors of 2713 are 1, 2713
The factors of 8519 are 1, 7, 1217, 8519
The HCF of 2713,8519 is 1.
Lets's calculate GCF of 2713,8519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2713,8519 By Matching Biggest Common Factor Method
Now, list down the factors of 2713
:1,2713
Now, list down the factors of 8519
:1,7,1217,8519
Greatest Common Factor
We found the factors 2713,8519 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,8519 is 1.
Lets's calculate LCM of 875,5519
Given numbers has no common factors except 1. So, there LCM is their product i.e 4829125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4829125
Therefore, the GCF of Fractions 2713/875,8519/5519 is 1/4829125
Least Common Multiple of 875,5519 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 875,5519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,5519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,5519) x common factors =1 x 1 = 1
LCM(875,5519) = ( 875 × 5519 ) / 1
LCM(875,5519) = 4829125 / 1
LCM(875,5519) = 4829125
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FAQs on GCF of Fractions of 2713/875, 8519/5519
1. What is the HCF of 2713,8519?
The HCF of 2713,8519 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 2713/875, 8519/5519?
Answer: GCF of Numerators as per given numbers 2713/875, 8519/5519 is
GCF of Numerators i.e. for 2713,8519 is 1
LCM of denominators i.e. for 875,5519 is 4829125.
Thus, GCF of Fractions is 1/4829125.Finally, GCF of Fractions for 2713/875, 8519/5519 is 1/4829125.