GCF of 803/53, 813/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 803/53, 813/103 i.e 1/5459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/53, 813/103.
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 803/53,813/103?
Given fractions are 803/53,813/103
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 803/53,813/103, numerators are 803,813
Denominators are 53,103
The GCF of 803,813 is 1 .
LCM of 53,103 is 5459.
The greatest common factor of 803/53,813/103 = [GCF of 803,813]/[LCM of 53,103]= 1/5459
Therefore, the GCF of 803/53,813/103 is 1/5459.
To find the highest common factor of 803,813, we have to find the factors of both numbers and list the highest common factor.
The factors of 803 are 1, 11, 73, 803
The factors of 813 are 1, 3, 271, 813
The HCF of 803,813 is 1.
Lets's calculate GCF of 803,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 803,813 By Matching Biggest Common Factor Method
Now, list down the factors of 803
:1,11,73,803
Now, list down the factors of 813
:1,3,271,813
Greatest Common Factor
We found the factors 803,813 . The biggest common factor number is the GCF number.
So the greatest common factor 803,813 is 1.
Lets's calculate LCM of 53,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 5459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5459
Therefore, the GCF of Fractions 803/53,813/103 is 1/5459
Least Common Multiple of 53,103 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 53,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,103) x common factors =1 x 1 = 1
LCM(53,103) = ( 53 × 103 ) / 1
LCM(53,103) = 5459 / 1
LCM(53,103) = 5459
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FAQs on GCF of Fractions of 803/53, 813/103
1. What is the HCF of 803,813?
The HCF of 803,813 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 803/53, 813/103?
Answer: GCF of Numerators as per given numbers 803/53, 813/103 is
GCF of Numerators i.e. for 803,813 is 1
LCM of denominators i.e. for 53,103 is 5459.
Thus, GCF of Fractions is 1/5459.Finally, GCF of Fractions for 803/53, 813/103 is 1/5459.