GCF of 24/466, 35/310, 538/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 24/466, 35/310, 538/927 i.e 1/66957210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/466, 35/310, 538/927.
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 24/466,35/310,538/927?
Given fractions are 24/466,35/310,538/927
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 24/466,35/310,538/927, numerators are 24,35,538
Denominators are 466,310,927
The GCF of 24,35,538 is 1 .
LCM of 466,310,927 is 66957210.
The greatest common factor of 24/466,35/310,538/927 = [GCF of 24,35,538]/[LCM of 466,310,927]= 1/66957210
Therefore, the GCF of 24/466,35/310,538/927 is 1/66957210.
To find the highest common factor of 24,35,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 35 are 1, 5, 7, 35
The factors of 538 are 1, 2, 269, 538
The HCF of 24,35,538 is 1.
Lets's calculate GCF of 24,35,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 24,35,538 By Matching Biggest Common Factor Method
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 24,35,538 . The biggest common factor number is the GCF number.
So the greatest common factor 24,35,538 is 1.
Lets's calculate LCM of 466,310,927
| 2 | 466, 310, 927 |
| 233, 155, 927 |
∴ So the LCM of the given numbers is 2 x 233 x 155 x 927 = 66957210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66957210
Therefore, the GCF of Fractions 24/466,35/310,538/927 is 1/66957210
Least Common Multiple of 466,310,927 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 466,310,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,310,927) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(466,310,927) x common factors =1 x 2 = 2
LCM(466,310,927) = ( 466 × 310 × 927 ) / 2
LCM(466,310,927) = 133914420 / 2
LCM(466,310,927) = 66957210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 24/466, 35/310, 538/927
1. What is the HCF of 24,35,538?
The HCF of 24,35,538 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 24/466, 35/310, 538/927?
Answer: GCF of Numerators as per given numbers 24/466, 35/310, 538/927 is
GCF of Numerators i.e. for 24,35,538 is 1
LCM of denominators i.e. for 466,310,927 is 66957210.
Thus, GCF of Fractions is 1/66957210.Finally, GCF of Fractions for 24/466, 35/310, 538/927 is 1/66957210.