GCF of 811/24, 293/2503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 811/24, 293/2503 i.e 1/60072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/24, 293/2503.
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 811/24,293/2503?
Given fractions are 811/24,293/2503
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 811/24,293/2503, numerators are 811,293
Denominators are 24,2503
The GCF of 811,293 is 1 .
LCM of 24,2503 is 60072.
The greatest common factor of 811/24,293/2503 = [GCF of 811,293]/[LCM of 24,2503]= 1/60072
Therefore, the GCF of 811/24,293/2503 is 1/60072.
To find the highest common factor of 811,293, we have to find the factors of both numbers and list the highest common factor.
The factors of 811 are 1, 811
The factors of 293 are 1, 293
The HCF of 811,293 is 1.
Lets's calculate GCF of 811,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 811,293 By Matching Biggest Common Factor Method
Now, list down the factors of 811
:1,811
Now, list down the factors of 293
:1,293
Greatest Common Factor
We found the factors 811,293 . The biggest common factor number is the GCF number.
So the greatest common factor 811,293 is 1.
Lets's calculate LCM of 24,2503
Given numbers has no common factors except 1. So, there LCM is their product i.e 60072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60072
Therefore, the GCF of Fractions 811/24,293/2503 is 1/60072
Least Common Multiple of 24,2503 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 24,2503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,2503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,2503) x common factors =1 x 1 = 1
LCM(24,2503) = ( 24 × 2503 ) / 1
LCM(24,2503) = 60072 / 1
LCM(24,2503) = 60072
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FAQs on GCF of Fractions of 811/24, 293/2503
1. What is the HCF of 811,293?
The HCF of 811,293 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 811/24, 293/2503?
Answer: GCF of Numerators as per given numbers 811/24, 293/2503 is
GCF of Numerators i.e. for 811,293 is 1
LCM of denominators i.e. for 24,2503 is 60072.
Thus, GCF of Fractions is 1/60072.Finally, GCF of Fractions for 811/24, 293/2503 is 1/60072.