GCF of 6928/432, 1376/2463
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6928/432, 1376/2463 i.e 16/354672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6928/432, 1376/2463.
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 6928/432,1376/2463?
Given fractions are 6928/432,1376/2463
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 6928/432,1376/2463, numerators are 6928,1376
Denominators are 432,2463
The GCF of 6928,1376 is 16 .
LCM of 432,2463 is 354672.
The greatest common factor of 6928/432,1376/2463 = [GCF of 6928,1376]/[LCM of 432,2463]= 16/354672
Therefore, the GCF of 6928/432,1376/2463 is 16/354672.
To find the highest common factor of 6928,1376, we have to find the factors of both numbers and list the highest common factor.
The factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928
The factors of 1376 are 1, 2, 4, 8, 16, 32, 43, 86, 172, 344, 688, 1376
The HCF of 6928,1376 is 16.
Lets's calculate GCF of 6928,1376
| 2 | 6928, 1376 |
| 2 | 3464, 688 |
| 2 | 1732, 344 |
| 2 | 866, 172 |
| 433, 86 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 6928,1376 By Matching Biggest Common Factor Method
Now, list down the factors of 6928
:1,2,4,8,16,433,866,1732,3464,6928
Now, list down the factors of 1376
:1,2,4,8,16,32,43,86,172,344,688,1376
Greatest Common Factor
We found the factors 6928,1376 . The biggest common factor number is the GCF number.
So the greatest common factor 6928,1376 is 16.
Lets's calculate LCM of 432,2463
| 3 | 432, 2463 |
| 144, 821 |
∴ So the LCM of the given numbers is 3 x 144 x 821 = 354672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/354672
Therefore, the GCF of Fractions 6928/432,1376/2463 is 16/354672
Least Common Multiple of 432,2463 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 432,2463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,2463) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(432,2463) x common factors =3 x 1 = 3
LCM(432,2463) = ( 432 × 2463 ) / 3
LCM(432,2463) = 1064016 / 3
LCM(432,2463) = 354672
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FAQs on GCF of Fractions of 6928/432, 1376/2463
1. What is the HCF of 6928,1376?
The HCF of 6928,1376 is 16
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 6928/432, 1376/2463?
Answer: GCF of Numerators as per given numbers 6928/432, 1376/2463 is
GCF of Numerators i.e. for 6928,1376 is 16
LCM of denominators i.e. for 432,2463 is 354672.
Thus, GCF of Fractions is 16/354672.Finally, GCF of Fractions for 6928/432, 1376/2463 is 16/354672.