GCF of 33/163, 88/389, 292/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 33/163, 88/389, 292/952 i.e 1/60363464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/163, 88/389, 292/952.
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 33/163,88/389,292/952?
Given fractions are 33/163,88/389,292/952
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 33/163,88/389,292/952, numerators are 33,88,292
Denominators are 163,389,952
The GCF of 33,88,292 is 1 .
LCM of 163,389,952 is 60363464.
The greatest common factor of 33/163,88/389,292/952 = [GCF of 33,88,292]/[LCM of 163,389,952]= 1/60363464
Therefore, the GCF of 33/163,88/389,292/952 is 1/60363464.
To find the highest common factor of 33,88,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 33 are 1, 3, 11, 33
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 33,88,292 is 1.
Lets's calculate GCF of 33,88,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 33,88,292 By Matching Biggest Common Factor Method
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 33,88,292 . The biggest common factor number is the GCF number.
So the greatest common factor 33,88,292 is 1.
Lets's calculate LCM of 163,389,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 60363464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60363464
Therefore, the GCF of Fractions 33/163,88/389,292/952 is 1/60363464
Least Common Multiple of 163,389,952 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 163,389,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,389,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,389,952) x common factors =1 x 1 = 1
LCM(163,389,952) = ( 163 × 389 × 952 ) / 1
LCM(163,389,952) = 60363464 / 1
LCM(163,389,952) = 60363464
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FAQs on GCF of Fractions of 33/163, 88/389, 292/952
1. What is the HCF of 33,88,292?
The HCF of 33,88,292 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 33/163, 88/389, 292/952?
Answer: GCF of Numerators as per given numbers 33/163, 88/389, 292/952 is
GCF of Numerators i.e. for 33,88,292 is 1
LCM of denominators i.e. for 163,389,952 is 60363464.
Thus, GCF of Fractions is 1/60363464.Finally, GCF of Fractions for 33/163, 88/389, 292/952 is 1/60363464.