GCF of 498/23, 349/7299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 498/23, 349/7299 i.e 1/167877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 498/23, 349/7299.
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 498/23,349/7299?
Given fractions are 498/23,349/7299
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 498/23,349/7299, numerators are 498,349
Denominators are 23,7299
The GCF of 498,349 is 1 .
LCM of 23,7299 is 167877.
The greatest common factor of 498/23,349/7299 = [GCF of 498,349]/[LCM of 23,7299]= 1/167877
Therefore, the GCF of 498/23,349/7299 is 1/167877.
To find the highest common factor of 498,349, we have to find the factors of both numbers and list the highest common factor.
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The factors of 349 are 1, 349
The HCF of 498,349 is 1.
Lets's calculate GCF of 498,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 498,349 By Matching Biggest Common Factor Method
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Now, list down the factors of 349
:1,349
Greatest Common Factor
We found the factors 498,349 . The biggest common factor number is the GCF number.
So the greatest common factor 498,349 is 1.
Lets's calculate LCM of 23,7299
Given numbers has no common factors except 1. So, there LCM is their product i.e 167877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167877
Therefore, the GCF of Fractions 498/23,349/7299 is 1/167877
Least Common Multiple of 23,7299 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 23,7299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,7299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,7299) x common factors =1 x 1 = 1
LCM(23,7299) = ( 23 × 7299 ) / 1
LCM(23,7299) = 167877 / 1
LCM(23,7299) = 167877
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FAQs on GCF of Fractions of 498/23, 349/7299
1. What is the HCF of 498,349?
The HCF of 498,349 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 498/23, 349/7299?
Answer: GCF of Numerators as per given numbers 498/23, 349/7299 is
GCF of Numerators i.e. for 498,349 is 1
LCM of denominators i.e. for 23,7299 is 167877.
Thus, GCF of Fractions is 1/167877.Finally, GCF of Fractions for 498/23, 349/7299 is 1/167877.