GCF of 534/241, 2301/566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 534/241, 2301/566 i.e 3/136406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 534/241, 2301/566.
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 534/241,2301/566?
Given fractions are 534/241,2301/566
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 534/241,2301/566, numerators are 534,2301
Denominators are 241,566
The GCF of 534,2301 is 3 .
LCM of 241,566 is 136406.
The greatest common factor of 534/241,2301/566 = [GCF of 534,2301]/[LCM of 241,566]= 3/136406
Therefore, the GCF of 534/241,2301/566 is 3/136406.
To find the highest common factor of 534,2301, we have to find the factors of both numbers and list the highest common factor.
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The factors of 2301 are 1, 3, 13, 39, 59, 177, 767, 2301
The HCF of 534,2301 is 3.
Lets's calculate GCF of 534,2301
| 3 | 534, 2301 |
| 178, 767 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 534,2301 By Matching Biggest Common Factor Method
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Now, list down the factors of 2301
:1,3,13,39,59,177,767,2301
Greatest Common Factor
We found the factors 534,2301 . The biggest common factor number is the GCF number.
So the greatest common factor 534,2301 is 3.
Lets's calculate LCM of 241,566
Given numbers has no common factors except 1. So, there LCM is their product i.e 136406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/136406
Therefore, the GCF of Fractions 534/241,2301/566 is 3/136406
Least Common Multiple of 241,566 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 241,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,566) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,566) x common factors =1 x 1 = 1
LCM(241,566) = ( 241 × 566 ) / 1
LCM(241,566) = 136406 / 1
LCM(241,566) = 136406
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FAQs on GCF of Fractions of 534/241, 2301/566
1. What is the HCF of 534,2301?
The HCF of 534,2301 is 3
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 534/241, 2301/566?
Answer: GCF of Numerators as per given numbers 534/241, 2301/566 is
GCF of Numerators i.e. for 534,2301 is 3
LCM of denominators i.e. for 241,566 is 136406.
Thus, GCF of Fractions is 3/136406.Finally, GCF of Fractions for 534/241, 2301/566 is 3/136406.