GCF of 5644/334, 3984/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5644/334, 3984/124 i.e 332/20708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5644/334, 3984/124.
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 5644/334,3984/124?
Given fractions are 5644/334,3984/124
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 5644/334,3984/124, numerators are 5644,3984
Denominators are 334,124
The GCF of 5644,3984 is 332 .
LCM of 334,124 is 20708.
The greatest common factor of 5644/334,3984/124 = [GCF of 5644,3984]/[LCM of 334,124]= 332/20708
Therefore, the GCF of 5644/334,3984/124 is 332/20708.
To find the highest common factor of 5644,3984, we have to find the factors of both numbers and list the highest common factor.
The factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644
The factors of 3984 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 83, 166, 249, 332, 498, 664, 996, 1328, 1992, 3984
The HCF of 5644,3984 is 332.
Lets's calculate GCF of 5644,3984
| 2 | 5644, 3984 |
| 2 | 2822, 1992 |
| 83 | 1411, 996 |
| 17, 12 |
∴ So the GCF of the given numbers is 2 x 2 x 83 = 332
Greatest Common Factor of 5644,3984 By Matching Biggest Common Factor Method
Now, list down the factors of 5644
:1,2,4,17,34,68,83,166,332,1411,2822,5644
Now, list down the factors of 3984
:1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984
Greatest Common Factor
We found the factors 5644,3984 . The biggest common factor number is the GCF number.
So the greatest common factor 5644,3984 is 332.
Lets's calculate LCM of 334,124
| 2 | 334, 124 |
| 167, 62 |
∴ So the LCM of the given numbers is 2 x 167 x 62 = 20708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 332/20708
Therefore, the GCF of Fractions 5644/334,3984/124 is 332/20708
Least Common Multiple of 334,124 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 334,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,124) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,124) x common factors =2 x 1 = 2
LCM(334,124) = ( 334 × 124 ) / 2
LCM(334,124) = 41416 / 2
LCM(334,124) = 20708
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5644/334, 3984/124
1. What is the HCF of 5644,3984?
The HCF of 5644,3984 is 332
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 5644/334, 3984/124?
Answer: GCF of Numerators as per given numbers 5644/334, 3984/124 is
GCF of Numerators i.e. for 5644,3984 is 332
LCM of denominators i.e. for 334,124 is 20708.
Thus, GCF of Fractions is 332/20708.Finally, GCF of Fractions for 5644/334, 3984/124 is 332/20708.