GCF of 4188/254, 3960/2154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4188/254, 3960/2154 i.e 12/273558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4188/254, 3960/2154.
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 4188/254,3960/2154?
Given fractions are 4188/254,3960/2154
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 4188/254,3960/2154, numerators are 4188,3960
Denominators are 254,2154
The GCF of 4188,3960 is 12 .
LCM of 254,2154 is 273558.
The greatest common factor of 4188/254,3960/2154 = [GCF of 4188,3960]/[LCM of 254,2154]= 12/273558
Therefore, the GCF of 4188/254,3960/2154 is 12/273558.
To find the highest common factor of 4188,3960, we have to find the factors of both numbers and list the highest common factor.
The factors of 4188 are 1, 2, 3, 4, 6, 12, 349, 698, 1047, 1396, 2094, 4188
The factors of 3960 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 132, 165, 180, 198, 220, 264, 330, 360, 396, 440, 495, 660, 792, 990, 1320, 1980, 3960
The HCF of 4188,3960 is 12.
Lets's calculate GCF of 4188,3960
| 2 | 4188, 3960 |
| 2 | 2094, 1980 |
| 3 | 1047, 990 |
| 349, 330 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4188,3960 By Matching Biggest Common Factor Method
Now, list down the factors of 4188
:1,2,3,4,6,12,349,698,1047,1396,2094,4188
Now, list down the factors of 3960
:1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960
Greatest Common Factor
We found the factors 4188,3960 . The biggest common factor number is the GCF number.
So the greatest common factor 4188,3960 is 12.
Lets's calculate LCM of 254,2154
| 2 | 254, 2154 |
| 127, 1077 |
∴ So the LCM of the given numbers is 2 x 127 x 1077 = 273558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/273558
Therefore, the GCF of Fractions 4188/254,3960/2154 is 12/273558
Least Common Multiple of 254,2154 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 254,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,2154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,2154) x common factors =2 x 1 = 2
LCM(254,2154) = ( 254 × 2154 ) / 2
LCM(254,2154) = 547116 / 2
LCM(254,2154) = 273558
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4188/254, 3960/2154
1. What is the HCF of 4188,3960?
The HCF of 4188,3960 is 12
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 4188/254, 3960/2154?
Answer: GCF of Numerators as per given numbers 4188/254, 3960/2154 is
GCF of Numerators i.e. for 4188,3960 is 12
LCM of denominators i.e. for 254,2154 is 273558.
Thus, GCF of Fractions is 12/273558.Finally, GCF of Fractions for 4188/254, 3960/2154 is 12/273558.