GCF of 499/173, 359/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 499/173, 359/142 i.e 1/24566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/173, 359/142.
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 499/173,359/142?
Given fractions are 499/173,359/142
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 499/173,359/142, numerators are 499,359
Denominators are 173,142
The GCF of 499,359 is 1 .
LCM of 173,142 is 24566.
The greatest common factor of 499/173,359/142 = [GCF of 499,359]/[LCM of 173,142]= 1/24566
Therefore, the GCF of 499/173,359/142 is 1/24566.
To find the highest common factor of 499,359, we have to find the factors of both numbers and list the highest common factor.
The factors of 499 are 1, 499
The factors of 359 are 1, 359
The HCF of 499,359 is 1.
Lets's calculate GCF of 499,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 499,359 By Matching Biggest Common Factor Method
Now, list down the factors of 499
:1,499
Now, list down the factors of 359
:1,359
Greatest Common Factor
We found the factors 499,359 . The biggest common factor number is the GCF number.
So the greatest common factor 499,359 is 1.
Lets's calculate LCM of 173,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 24566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24566
Therefore, the GCF of Fractions 499/173,359/142 is 1/24566
Least Common Multiple of 173,142 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 173,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,142) x common factors =1 x 1 = 1
LCM(173,142) = ( 173 × 142 ) / 1
LCM(173,142) = 24566 / 1
LCM(173,142) = 24566
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 499/173, 359/142
1. What is the HCF of 499,359?
The HCF of 499,359 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 499/173, 359/142?
Answer: GCF of Numerators as per given numbers 499/173, 359/142 is
GCF of Numerators i.e. for 499,359 is 1
LCM of denominators i.e. for 173,142 is 24566.
Thus, GCF of Fractions is 1/24566.Finally, GCF of Fractions for 499/173, 359/142 is 1/24566.