GCF of 3744/248, 1920/9843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3744/248, 1920/9843 i.e 96/2441064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3744/248, 1920/9843.
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 3744/248,1920/9843?
Given fractions are 3744/248,1920/9843
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 3744/248,1920/9843, numerators are 3744,1920
Denominators are 248,9843
The GCF of 3744,1920 is 96 .
LCM of 248,9843 is 2441064.
The greatest common factor of 3744/248,1920/9843 = [GCF of 3744,1920]/[LCM of 248,9843]= 96/2441064
Therefore, the GCF of 3744/248,1920/9843 is 96/2441064.
To find the highest common factor of 3744,1920, we have to find the factors of both numbers and list the highest common factor.
The factors of 3744 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 72, 78, 96, 104, 117, 144, 156, 208, 234, 288, 312, 416, 468, 624, 936, 1248, 1872, 3744
The factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920
The HCF of 3744,1920 is 96.
Lets's calculate GCF of 3744,1920
| 2 | 3744, 1920 |
| 2 | 1872, 960 |
| 2 | 936, 480 |
| 2 | 468, 240 |
| 2 | 234, 120 |
| 3 | 117, 60 |
| 39, 20 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 = 96
Greatest Common Factor of 3744,1920 By Matching Biggest Common Factor Method
Now, list down the factors of 3744
:1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744
Now, list down the factors of 1920
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920
Greatest Common Factor
We found the factors 3744,1920 . The biggest common factor number is the GCF number.
So the greatest common factor 3744,1920 is 96.
Lets's calculate LCM of 248,9843
Given numbers has no common factors except 1. So, there LCM is their product i.e 2441064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 96/2441064
Therefore, the GCF of Fractions 3744/248,1920/9843 is 96/2441064
Least Common Multiple of 248,9843 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 248,9843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,9843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,9843) x common factors =1 x 1 = 1
LCM(248,9843) = ( 248 × 9843 ) / 1
LCM(248,9843) = 2441064 / 1
LCM(248,9843) = 2441064
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FAQs on GCF of Fractions of 3744/248, 1920/9843
1. What is the HCF of 3744,1920?
The HCF of 3744,1920 is 96
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 3744/248, 1920/9843?
Answer: GCF of Numerators as per given numbers 3744/248, 1920/9843 is
GCF of Numerators i.e. for 3744,1920 is 96
LCM of denominators i.e. for 248,9843 is 2441064.
Thus, GCF of Fractions is 96/2441064.Finally, GCF of Fractions for 3744/248, 1920/9843 is 96/2441064.