GCF of 5696/304, 7215/6704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5696/304, 7215/6704 i.e 1/127376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5696/304, 7215/6704.
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 5696/304,7215/6704?
Given fractions are 5696/304,7215/6704
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 5696/304,7215/6704, numerators are 5696,7215
Denominators are 304,6704
The GCF of 5696,7215 is 1 .
LCM of 304,6704 is 127376.
The greatest common factor of 5696/304,7215/6704 = [GCF of 5696,7215]/[LCM of 304,6704]= 1/127376
Therefore, the GCF of 5696/304,7215/6704 is 1/127376.
To find the highest common factor of 5696,7215, we have to find the factors of both numbers and list the highest common factor.
The factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696
The factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
The HCF of 5696,7215 is 1.
Lets's calculate GCF of 5696,7215
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5696,7215 By Matching Biggest Common Factor Method
Now, list down the factors of 5696
:1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696
Now, list down the factors of 7215
:1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Greatest Common Factor
We found the factors 5696,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 5696,7215 is 1.
Lets's calculate LCM of 304,6704
| 2 | 304, 6704 |
| 2 | 152, 3352 |
| 2 | 76, 1676 |
| 2 | 38, 838 |
| 19, 419 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 419 = 127376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127376
Therefore, the GCF of Fractions 5696/304,7215/6704 is 1/127376
Least Common Multiple of 304,6704 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 304,6704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,6704) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(304,6704) x common factors =16 x 1 = 16
LCM(304,6704) = ( 304 × 6704 ) / 16
LCM(304,6704) = 2038016 / 16
LCM(304,6704) = 127376
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FAQs on GCF of Fractions of 5696/304, 7215/6704
1. What is the HCF of 5696,7215?
The HCF of 5696,7215 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 5696/304, 7215/6704?
Answer: GCF of Numerators as per given numbers 5696/304, 7215/6704 is
GCF of Numerators i.e. for 5696,7215 is 1
LCM of denominators i.e. for 304,6704 is 127376.
Thus, GCF of Fractions is 1/127376.Finally, GCF of Fractions for 5696/304, 7215/6704 is 1/127376.