GCF of 498/558, 238/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 498/558, 238/969 i.e 2/180234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 498/558, 238/969.
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 498/558,238/969?
Given fractions are 498/558,238/969
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 498/558,238/969, numerators are 498,238
Denominators are 558,969
The GCF of 498,238 is 2 .
LCM of 558,969 is 180234.
The greatest common factor of 498/558,238/969 = [GCF of 498,238]/[LCM of 558,969]= 2/180234
Therefore, the GCF of 498/558,238/969 is 2/180234.
To find the highest common factor of 498,238, 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 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 498,238 is 2.
Lets's calculate GCF of 498,238
| 2 | 498, 238 |
| 249, 119 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 498,238 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 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 498,238 . The biggest common factor number is the GCF number.
So the greatest common factor 498,238 is 2.
Lets's calculate LCM of 558,969
| 3 | 558, 969 |
| 186, 323 |
∴ So the LCM of the given numbers is 3 x 186 x 323 = 180234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180234
Therefore, the GCF of Fractions 498/558,238/969 is 2/180234
Least Common Multiple of 558,969 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 558,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(558,969) x common factors =3 x 1 = 3
LCM(558,969) = ( 558 × 969 ) / 3
LCM(558,969) = 540702 / 3
LCM(558,969) = 180234
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FAQs on GCF of Fractions of 498/558, 238/969
1. What is the HCF of 498,238?
The HCF of 498,238 is 2
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 498/558, 238/969?
Answer: GCF of Numerators as per given numbers 498/558, 238/969 is
GCF of Numerators i.e. for 498,238 is 2
LCM of denominators i.e. for 558,969 is 180234.
Thus, GCF of Fractions is 2/180234.Finally, GCF of Fractions for 498/558, 238/969 is 2/180234.