GCF of 1992/256, 4384/5681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1992/256, 4384/5681 i.e 8/1454336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1992/256, 4384/5681.
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 1992/256,4384/5681?
Given fractions are 1992/256,4384/5681
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 1992/256,4384/5681, numerators are 1992,4384
Denominators are 256,5681
The GCF of 1992,4384 is 8 .
LCM of 256,5681 is 1454336.
The greatest common factor of 1992/256,4384/5681 = [GCF of 1992,4384]/[LCM of 256,5681]= 8/1454336
Therefore, the GCF of 1992/256,4384/5681 is 8/1454336.
To find the highest common factor of 1992,4384, we have to find the factors of both numbers and list the highest common factor.
The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992
The factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
The HCF of 1992,4384 is 8.
Lets's calculate GCF of 1992,4384
| 2 | 1992, 4384 |
| 2 | 996, 2192 |
| 2 | 498, 1096 |
| 249, 548 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1992,4384 By Matching Biggest Common Factor Method
Now, list down the factors of 1992
:1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992
Now, list down the factors of 4384
:1,2,4,8,16,32,137,274,548,1096,2192,4384
Greatest Common Factor
We found the factors 1992,4384 . The biggest common factor number is the GCF number.
So the greatest common factor 1992,4384 is 8.
Lets's calculate LCM of 256,5681
Given numbers has no common factors except 1. So, there LCM is their product i.e 1454336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1454336
Therefore, the GCF of Fractions 1992/256,4384/5681 is 8/1454336
Least Common Multiple of 256,5681 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 256,5681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,5681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,5681) x common factors =1 x 1 = 1
LCM(256,5681) = ( 256 × 5681 ) / 1
LCM(256,5681) = 1454336 / 1
LCM(256,5681) = 1454336
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FAQs on GCF of Fractions of 1992/256, 4384/5681
1. What is the HCF of 1992,4384?
The HCF of 1992,4384 is 8
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 1992/256, 4384/5681?
Answer: GCF of Numerators as per given numbers 1992/256, 4384/5681 is
GCF of Numerators i.e. for 1992,4384 is 8
LCM of denominators i.e. for 256,5681 is 1454336.
Thus, GCF of Fractions is 8/1454336.Finally, GCF of Fractions for 1992/256, 4384/5681 is 8/1454336.