GCF of 349/89, 174/25, 499/76
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 349/89, 174/25, 499/76 i.e 1/169100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/89, 174/25, 499/76.
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 349/89,174/25,499/76?
Given fractions are 349/89,174/25,499/76
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 349/89,174/25,499/76, numerators are 349,174,499
Denominators are 89,25,76
The GCF of 349,174,499 is 1 .
LCM of 89,25,76 is 169100.
The greatest common factor of 349/89,174/25,499/76 = [GCF of 349,174,499]/[LCM of 89,25,76]= 1/169100
Therefore, the GCF of 349/89,174/25,499/76 is 1/169100.
To find the highest common factor of 349,174,499, we have to find the factors of both numbers and list the highest common factor.
The factors of 349 are 1, 349
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 499 are 1, 499
The HCF of 349,174,499 is 1.
Lets's calculate GCF of 349,174,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 349,174,499 By Matching Biggest Common Factor Method
Now, list down the factors of 349
:1,349
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 499
:1,499
Greatest Common Factor
We found the factors 349,174,499 . The biggest common factor number is the GCF number.
So the greatest common factor 349,174,499 is 1.
Lets's calculate LCM of 89,25,76
Given numbers has no common factors except 1. So, there LCM is their product i.e 169100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169100
Therefore, the GCF of Fractions 349/89,174/25,499/76 is 1/169100
Least Common Multiple of 89,25,76 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 89,25,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,25,76) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,25,76) x common factors =1 x 1 = 1
LCM(89,25,76) = ( 89 × 25 × 76 ) / 1
LCM(89,25,76) = 169100 / 1
LCM(89,25,76) = 169100
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FAQs on GCF of Fractions of 349/89, 174/25, 499/76
1. What is the HCF of 349,174,499?
The HCF of 349,174,499 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 349/89, 174/25, 499/76?
Answer: GCF of Numerators as per given numbers 349/89, 174/25, 499/76 is
GCF of Numerators i.e. for 349,174,499 is 1
LCM of denominators i.e. for 89,25,76 is 169100.
Thus, GCF of Fractions is 1/169100.Finally, GCF of Fractions for 349/89, 174/25, 499/76 is 1/169100.