GCF of 2713/827, 8017/7089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2713/827, 8017/7089 i.e 1/5862603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2713/827, 8017/7089.
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 2713/827,8017/7089?
Given fractions are 2713/827,8017/7089
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 2713/827,8017/7089, numerators are 2713,8017
Denominators are 827,7089
The GCF of 2713,8017 is 1 .
LCM of 827,7089 is 5862603.
The greatest common factor of 2713/827,8017/7089 = [GCF of 2713,8017]/[LCM of 827,7089]= 1/5862603
Therefore, the GCF of 2713/827,8017/7089 is 1/5862603.
To find the highest common factor of 2713,8017, 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 8017 are 1, 8017
The HCF of 2713,8017 is 1.
Lets's calculate GCF of 2713,8017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2713,8017 By Matching Biggest Common Factor Method
Now, list down the factors of 2713
:1,2713
Now, list down the factors of 8017
:1,8017
Greatest Common Factor
We found the factors 2713,8017 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,8017 is 1.
Lets's calculate LCM of 827,7089
Given numbers has no common factors except 1. So, there LCM is their product i.e 5862603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5862603
Therefore, the GCF of Fractions 2713/827,8017/7089 is 1/5862603
Least Common Multiple of 827,7089 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 827,7089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,7089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,7089) x common factors =1 x 1 = 1
LCM(827,7089) = ( 827 × 7089 ) / 1
LCM(827,7089) = 5862603 / 1
LCM(827,7089) = 5862603
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FAQs on GCF of Fractions of 2713/827, 8017/7089
1. What is the HCF of 2713,8017?
The HCF of 2713,8017 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 2713/827, 8017/7089?
Answer: GCF of Numerators as per given numbers 2713/827, 8017/7089 is
GCF of Numerators i.e. for 2713,8017 is 1
LCM of denominators i.e. for 827,7089 is 5862603.
Thus, GCF of Fractions is 1/5862603.Finally, GCF of Fractions for 2713/827, 8017/7089 is 1/5862603.