GCF of 11/513, 48/948, 533/187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/513, 48/948, 533/187 i.e 1/30314196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/513, 48/948, 533/187.
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 11/513,48/948,533/187?
Given fractions are 11/513,48/948,533/187
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 11/513,48/948,533/187, numerators are 11,48,533
Denominators are 513,948,187
The GCF of 11,48,533 is 1 .
LCM of 513,948,187 is 30314196.
The greatest common factor of 11/513,48/948,533/187 = [GCF of 11,48,533]/[LCM of 513,948,187]= 1/30314196
Therefore, the GCF of 11/513,48/948,533/187 is 1/30314196.
To find the highest common factor of 11,48,533, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 533 are 1, 13, 41, 533
The HCF of 11,48,533 is 1.
Lets's calculate GCF of 11,48,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,48,533 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 533
:1,13,41,533
Greatest Common Factor
We found the factors 11,48,533 . The biggest common factor number is the GCF number.
So the greatest common factor 11,48,533 is 1.
Lets's calculate LCM of 513,948,187
| 3 | 513, 948, 187 |
| 171, 316, 187 |
∴ So the LCM of the given numbers is 3 x 171 x 316 x 187 = 30314196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30314196
Therefore, the GCF of Fractions 11/513,48/948,533/187 is 1/30314196
Least Common Multiple of 513,948,187 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 513,948,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,948,187) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(513,948,187) x common factors =1 x 3 = 3
LCM(513,948,187) = ( 513 × 948 × 187 ) / 3
LCM(513,948,187) = 90942588 / 3
LCM(513,948,187) = 30314196
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FAQs on GCF of Fractions of 11/513, 48/948, 533/187
1. What is the HCF of 11,48,533?
The HCF of 11,48,533 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 11/513, 48/948, 533/187?
Answer: GCF of Numerators as per given numbers 11/513, 48/948, 533/187 is
GCF of Numerators i.e. for 11,48,533 is 1
LCM of denominators i.e. for 513,948,187 is 30314196.
Thus, GCF of Fractions is 1/30314196.Finally, GCF of Fractions for 11/513, 48/948, 533/187 is 1/30314196.