GCF of 8503/824, 2915/2713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8503/824, 2915/2713 i.e 11/2235512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8503/824, 2915/2713.
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 8503/824,2915/2713?
Given fractions are 8503/824,2915/2713
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 8503/824,2915/2713, numerators are 8503,2915
Denominators are 824,2713
The GCF of 8503,2915 is 11 .
LCM of 824,2713 is 2235512.
The greatest common factor of 8503/824,2915/2713 = [GCF of 8503,2915]/[LCM of 824,2713]= 11/2235512
Therefore, the GCF of 8503/824,2915/2713 is 11/2235512.
To find the highest common factor of 8503,2915, we have to find the factors of both numbers and list the highest common factor.
The factors of 8503 are 1, 11, 773, 8503
The factors of 2915 are 1, 5, 11, 53, 55, 265, 583, 2915
The HCF of 8503,2915 is 11.
Lets's calculate GCF of 8503,2915
| 11 | 8503, 2915 |
| 773, 265 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8503,2915 By Matching Biggest Common Factor Method
Now, list down the factors of 8503
:1,11,773,8503
Now, list down the factors of 2915
:1,5,11,53,55,265,583,2915
Greatest Common Factor
We found the factors 8503,2915 . The biggest common factor number is the GCF number.
So the greatest common factor 8503,2915 is 11.
Lets's calculate LCM of 824,2713
Given numbers has no common factors except 1. So, there LCM is their product i.e 2235512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2235512
Therefore, the GCF of Fractions 8503/824,2915/2713 is 11/2235512
Least Common Multiple of 824,2713 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 824,2713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,2713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,2713) x common factors =1 x 1 = 1
LCM(824,2713) = ( 824 × 2713 ) / 1
LCM(824,2713) = 2235512 / 1
LCM(824,2713) = 2235512
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FAQs on GCF of Fractions of 8503/824, 2915/2713
1. What is the HCF of 8503,2915?
The HCF of 8503,2915 is 11
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 8503/824, 2915/2713?
Answer: GCF of Numerators as per given numbers 8503/824, 2915/2713 is
GCF of Numerators i.e. for 8503,2915 is 11
LCM of denominators i.e. for 824,2713 is 2235512.
Thus, GCF of Fractions is 11/2235512.Finally, GCF of Fractions for 8503/824, 2915/2713 is 11/2235512.