GCF of 915/64, 342/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 915/64, 342/724 i.e 3/11584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 915/64, 342/724.
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 915/64,342/724?
Given fractions are 915/64,342/724
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 915/64,342/724, numerators are 915,342
Denominators are 64,724
The GCF of 915,342 is 3 .
LCM of 64,724 is 11584.
The greatest common factor of 915/64,342/724 = [GCF of 915,342]/[LCM of 64,724]= 3/11584
Therefore, the GCF of 915/64,342/724 is 3/11584.
To find the highest common factor of 915,342, we have to find the factors of both numbers and list the highest common factor.
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The HCF of 915,342 is 3.
Lets's calculate GCF of 915,342
| 3 | 915, 342 |
| 305, 114 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 915,342 By Matching Biggest Common Factor Method
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 915,342 . The biggest common factor number is the GCF number.
So the greatest common factor 915,342 is 3.
Lets's calculate LCM of 64,724
| 2 | 64, 724 |
| 2 | 32, 362 |
| 16, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 181 = 11584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11584
Therefore, the GCF of Fractions 915/64,342/724 is 3/11584
Least Common Multiple of 64,724 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 64,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(64,724) x common factors =4 x 1 = 4
LCM(64,724) = ( 64 × 724 ) / 4
LCM(64,724) = 46336 / 4
LCM(64,724) = 11584
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FAQs on GCF of Fractions of 915/64, 342/724
1. What is the HCF of 915,342?
The HCF of 915,342 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 915/64, 342/724?
Answer: GCF of Numerators as per given numbers 915/64, 342/724 is
GCF of Numerators i.e. for 915,342 is 3
LCM of denominators i.e. for 64,724 is 11584.
Thus, GCF of Fractions is 3/11584.Finally, GCF of Fractions for 915/64, 342/724 is 3/11584.