GCF of 3992/708, 2823/4161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3992/708, 2823/4161 i.e 1/981996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3992/708, 2823/4161.
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 3992/708,2823/4161?
Given fractions are 3992/708,2823/4161
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 3992/708,2823/4161, numerators are 3992,2823
Denominators are 708,4161
The GCF of 3992,2823 is 1 .
LCM of 708,4161 is 981996.
The greatest common factor of 3992/708,2823/4161 = [GCF of 3992,2823]/[LCM of 708,4161]= 1/981996
Therefore, the GCF of 3992/708,2823/4161 is 1/981996.
To find the highest common factor of 3992,2823, we have to find the factors of both numbers and list the highest common factor.
The factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992
The factors of 2823 are 1, 3, 941, 2823
The HCF of 3992,2823 is 1.
Lets's calculate GCF of 3992,2823
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3992,2823 By Matching Biggest Common Factor Method
Now, list down the factors of 3992
:1,2,4,8,499,998,1996,3992
Now, list down the factors of 2823
:1,3,941,2823
Greatest Common Factor
We found the factors 3992,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 3992,2823 is 1.
Lets's calculate LCM of 708,4161
| 3 | 708, 4161 |
| 236, 1387 |
∴ So the LCM of the given numbers is 3 x 236 x 1387 = 981996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/981996
Therefore, the GCF of Fractions 3992/708,2823/4161 is 1/981996
Least Common Multiple of 708,4161 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 708,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,4161) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,4161) x common factors =3 x 1 = 3
LCM(708,4161) = ( 708 × 4161 ) / 3
LCM(708,4161) = 2945988 / 3
LCM(708,4161) = 981996
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FAQs on GCF of Fractions of 3992/708, 2823/4161
1. What is the HCF of 3992,2823?
The HCF of 3992,2823 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 3992/708, 2823/4161?
Answer: GCF of Numerators as per given numbers 3992/708, 2823/4161 is
GCF of Numerators i.e. for 3992,2823 is 1
LCM of denominators i.e. for 708,4161 is 981996.
Thus, GCF of Fractions is 1/981996.Finally, GCF of Fractions for 3992/708, 2823/4161 is 1/981996.