GCF of 5715/438, 2394/996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5715/438, 2394/996 i.e 9/72708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5715/438, 2394/996.
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 5715/438,2394/996?
Given fractions are 5715/438,2394/996
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 5715/438,2394/996, numerators are 5715,2394
Denominators are 438,996
The GCF of 5715,2394 is 9 .
LCM of 438,996 is 72708.
The greatest common factor of 5715/438,2394/996 = [GCF of 5715,2394]/[LCM of 438,996]= 9/72708
Therefore, the GCF of 5715/438,2394/996 is 9/72708.
To find the highest common factor of 5715,2394, we have to find the factors of both numbers and list the highest common factor.
The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
The factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394
The HCF of 5715,2394 is 9.
Lets's calculate GCF of 5715,2394
| 3 | 5715, 2394 |
| 3 | 1905, 798 |
| 635, 266 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5715,2394 By Matching Biggest Common Factor Method
Now, list down the factors of 5715
:1,3,5,9,15,45,127,381,635,1143,1905,5715
Now, list down the factors of 2394
:1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394
Greatest Common Factor
We found the factors 5715,2394 . The biggest common factor number is the GCF number.
So the greatest common factor 5715,2394 is 9.
Lets's calculate LCM of 438,996
| 2 | 438, 996 |
| 3 | 219, 498 |
| 73, 166 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 166 = 72708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/72708
Therefore, the GCF of Fractions 5715/438,2394/996 is 9/72708
Least Common Multiple of 438,996 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 438,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,996) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(438,996) x common factors =6 x 1 = 6
LCM(438,996) = ( 438 × 996 ) / 6
LCM(438,996) = 436248 / 6
LCM(438,996) = 72708
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FAQs on GCF of Fractions of 5715/438, 2394/996
1. What is the HCF of 5715,2394?
The HCF of 5715,2394 is 9
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 5715/438, 2394/996?
Answer: GCF of Numerators as per given numbers 5715/438, 2394/996 is
GCF of Numerators i.e. for 5715,2394 is 9
LCM of denominators i.e. for 438,996 is 72708.
Thus, GCF of Fractions is 9/72708.Finally, GCF of Fractions for 5715/438, 2394/996 is 9/72708.