GCF of 4813/722, 3673/223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4813/722, 3673/223 i.e 1/161006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4813/722, 3673/223.
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 4813/722,3673/223?
Given fractions are 4813/722,3673/223
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 4813/722,3673/223, numerators are 4813,3673
Denominators are 722,223
The GCF of 4813,3673 is 1 .
LCM of 722,223 is 161006.
The greatest common factor of 4813/722,3673/223 = [GCF of 4813,3673]/[LCM of 722,223]= 1/161006
Therefore, the GCF of 4813/722,3673/223 is 1/161006.
To find the highest common factor of 4813,3673, we have to find the factors of both numbers and list the highest common factor.
The factors of 4813 are 1, 4813
The factors of 3673 are 1, 3673
The HCF of 4813,3673 is 1.
Lets's calculate GCF of 4813,3673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4813,3673 By Matching Biggest Common Factor Method
Now, list down the factors of 4813
:1,4813
Now, list down the factors of 3673
:1,3673
Greatest Common Factor
We found the factors 4813,3673 . The biggest common factor number is the GCF number.
So the greatest common factor 4813,3673 is 1.
Lets's calculate LCM of 722,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 161006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161006
Therefore, the GCF of Fractions 4813/722,3673/223 is 1/161006
Least Common Multiple of 722,223 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 722,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,223) x common factors =1 x 1 = 1
LCM(722,223) = ( 722 × 223 ) / 1
LCM(722,223) = 161006 / 1
LCM(722,223) = 161006
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FAQs on GCF of Fractions of 4813/722, 3673/223
1. What is the HCF of 4813,3673?
The HCF of 4813,3673 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 4813/722, 3673/223?
Answer: GCF of Numerators as per given numbers 4813/722, 3673/223 is
GCF of Numerators i.e. for 4813,3673 is 1
LCM of denominators i.e. for 722,223 is 161006.
Thus, GCF of Fractions is 1/161006.Finally, GCF of Fractions for 4813/722, 3673/223 is 1/161006.