GCF of 517/133, 118/584, 413/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 517/133, 118/584, 413/149 i.e 1/11573128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 517/133, 118/584, 413/149.
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 517/133,118/584,413/149?
Given fractions are 517/133,118/584,413/149
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 517/133,118/584,413/149, numerators are 517,118,413
Denominators are 133,584,149
The GCF of 517,118,413 is 1 .
LCM of 133,584,149 is 11573128.
The greatest common factor of 517/133,118/584,413/149 = [GCF of 517,118,413]/[LCM of 133,584,149]= 1/11573128
Therefore, the GCF of 517/133,118/584,413/149 is 1/11573128.
To find the highest common factor of 517,118,413, we have to find the factors of both numbers and list the highest common factor.
The factors of 517 are 1, 11, 47, 517
The factors of 118 are 1, 2, 59, 118
The factors of 413 are 1, 7, 59, 413
The HCF of 517,118,413 is 1.
Lets's calculate GCF of 517,118,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 517,118,413 By Matching Biggest Common Factor Method
Now, list down the factors of 517
:1,11,47,517
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 413
:1,7,59,413
Greatest Common Factor
We found the factors 517,118,413 . The biggest common factor number is the GCF number.
So the greatest common factor 517,118,413 is 1.
Lets's calculate LCM of 133,584,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 11573128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11573128
Therefore, the GCF of Fractions 517/133,118/584,413/149 is 1/11573128
Least Common Multiple of 133,584,149 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 133,584,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,584,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,584,149) x common factors =1 x 1 = 1
LCM(133,584,149) = ( 133 × 584 × 149 ) / 1
LCM(133,584,149) = 11573128 / 1
LCM(133,584,149) = 11573128
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FAQs on GCF of Fractions of 517/133, 118/584, 413/149
1. What is the HCF of 517,118,413?
The HCF of 517,118,413 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 517/133, 118/584, 413/149?
Answer: GCF of Numerators as per given numbers 517/133, 118/584, 413/149 is
GCF of Numerators i.e. for 517,118,413 is 1
LCM of denominators i.e. for 133,584,149 is 11573128.
Thus, GCF of Fractions is 1/11573128.Finally, GCF of Fractions for 517/133, 118/584, 413/149 is 1/11573128.