GCF of 233/34, 871/6067
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 233/34, 871/6067 i.e 1/206278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/34, 871/6067.
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 233/34,871/6067?
Given fractions are 233/34,871/6067
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 233/34,871/6067, numerators are 233,871
Denominators are 34,6067
The GCF of 233,871 is 1 .
LCM of 34,6067 is 206278.
The greatest common factor of 233/34,871/6067 = [GCF of 233,871]/[LCM of 34,6067]= 1/206278
Therefore, the GCF of 233/34,871/6067 is 1/206278.
To find the highest common factor of 233,871, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 871 are 1, 13, 67, 871
The HCF of 233,871 is 1.
Lets's calculate GCF of 233,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 233,871 By Matching Biggest Common Factor Method
Now, list down the factors of 233
:1,233
Now, list down the factors of 871
:1,13,67,871
Greatest Common Factor
We found the factors 233,871 . The biggest common factor number is the GCF number.
So the greatest common factor 233,871 is 1.
Lets's calculate LCM of 34,6067
Given numbers has no common factors except 1. So, there LCM is their product i.e 206278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206278
Therefore, the GCF of Fractions 233/34,871/6067 is 1/206278
Least Common Multiple of 34,6067 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 34,6067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,6067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,6067) x common factors =1 x 1 = 1
LCM(34,6067) = ( 34 × 6067 ) / 1
LCM(34,6067) = 206278 / 1
LCM(34,6067) = 206278
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FAQs on GCF of Fractions of 233/34, 871/6067
1. What is the HCF of 233,871?
The HCF of 233,871 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 233/34, 871/6067?
Answer: GCF of Numerators as per given numbers 233/34, 871/6067 is
GCF of Numerators i.e. for 233,871 is 1
LCM of denominators i.e. for 34,6067 is 206278.
Thus, GCF of Fractions is 1/206278.Finally, GCF of Fractions for 233/34, 871/6067 is 1/206278.