GCF of 2153/381, 3744/5277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2153/381, 3744/5277 i.e 1/670179 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2153/381, 3744/5277.
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 2153/381,3744/5277?
Given fractions are 2153/381,3744/5277
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 2153/381,3744/5277, numerators are 2153,3744
Denominators are 381,5277
The GCF of 2153,3744 is 1 .
LCM of 381,5277 is 670179.
The greatest common factor of 2153/381,3744/5277 = [GCF of 2153,3744]/[LCM of 381,5277]= 1/670179
Therefore, the GCF of 2153/381,3744/5277 is 1/670179.
To find the highest common factor of 2153,3744, we have to find the factors of both numbers and list the highest common factor.
The factors of 2153 are 1, 2153
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 HCF of 2153,3744 is 1.
Lets's calculate GCF of 2153,3744
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2153,3744 By Matching Biggest Common Factor Method
Now, list down the factors of 2153
:1,2153
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
Greatest Common Factor
We found the factors 2153,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 2153,3744 is 1.
Lets's calculate LCM of 381,5277
| 3 | 381, 5277 |
| 127, 1759 |
∴ So the LCM of the given numbers is 3 x 127 x 1759 = 670179
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/670179
Therefore, the GCF of Fractions 2153/381,3744/5277 is 1/670179
Least Common Multiple of 381,5277 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 381,5277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,5277) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(381,5277) x common factors =3 x 1 = 3
LCM(381,5277) = ( 381 × 5277 ) / 3
LCM(381,5277) = 2010537 / 3
LCM(381,5277) = 670179
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FAQs on GCF of Fractions of 2153/381, 3744/5277
1. What is the HCF of 2153,3744?
The HCF of 2153,3744 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 2153/381, 3744/5277?
Answer: GCF of Numerators as per given numbers 2153/381, 3744/5277 is
GCF of Numerators i.e. for 2153,3744 is 1
LCM of denominators i.e. for 381,5277 is 670179.
Thus, GCF of Fractions is 1/670179.Finally, GCF of Fractions for 2153/381, 3744/5277 is 1/670179.