GCF of 118/579, 326/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 118/579, 326/314 i.e 2/181806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/579, 326/314.
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 118/579,326/314?
Given fractions are 118/579,326/314
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 118/579,326/314, numerators are 118,326
Denominators are 579,314
The GCF of 118,326 is 2 .
LCM of 579,314 is 181806.
The greatest common factor of 118/579,326/314 = [GCF of 118,326]/[LCM of 579,314]= 2/181806
Therefore, the GCF of 118/579,326/314 is 2/181806.
To find the highest common factor of 118,326, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 326 are 1, 2, 163, 326
The HCF of 118,326 is 2.
Lets's calculate GCF of 118,326
| 2 | 118, 326 |
| 59, 163 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 118,326 By Matching Biggest Common Factor Method
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 326
:1,2,163,326
Greatest Common Factor
We found the factors 118,326 . The biggest common factor number is the GCF number.
So the greatest common factor 118,326 is 2.
Lets's calculate LCM of 579,314
Given numbers has no common factors except 1. So, there LCM is their product i.e 181806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181806
Therefore, the GCF of Fractions 118/579,326/314 is 2/181806
Least Common Multiple of 579,314 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 579,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,314) x common factors =1 x 1 = 1
LCM(579,314) = ( 579 × 314 ) / 1
LCM(579,314) = 181806 / 1
LCM(579,314) = 181806
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FAQs on GCF of Fractions of 118/579, 326/314
1. What is the HCF of 118,326?
The HCF of 118,326 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 118/579, 326/314?
Answer: GCF of Numerators as per given numbers 118/579, 326/314 is
GCF of Numerators i.e. for 118,326 is 2
LCM of denominators i.e. for 579,314 is 181806.
Thus, GCF of Fractions is 2/181806.Finally, GCF of Fractions for 118/579, 326/314 is 2/181806.