GCF of 2354/143, 2387/1348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2354/143, 2387/1348 i.e 11/192764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2354/143, 2387/1348.
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 2354/143,2387/1348?
Given fractions are 2354/143,2387/1348
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 2354/143,2387/1348, numerators are 2354,2387
Denominators are 143,1348
The GCF of 2354,2387 is 11 .
LCM of 143,1348 is 192764.
The greatest common factor of 2354/143,2387/1348 = [GCF of 2354,2387]/[LCM of 143,1348]= 11/192764
Therefore, the GCF of 2354/143,2387/1348 is 11/192764.
To find the highest common factor of 2354,2387, we have to find the factors of both numbers and list the highest common factor.
The factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354
The factors of 2387 are 1, 7, 11, 31, 77, 217, 341, 2387
The HCF of 2354,2387 is 11.
Lets's calculate GCF of 2354,2387
| 11 | 2354, 2387 |
| 214, 217 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2354,2387 By Matching Biggest Common Factor Method
Now, list down the factors of 2354
:1,2,11,22,107,214,1177,2354
Now, list down the factors of 2387
:1,7,11,31,77,217,341,2387
Greatest Common Factor
We found the factors 2354,2387 . The biggest common factor number is the GCF number.
So the greatest common factor 2354,2387 is 11.
Lets's calculate LCM of 143,1348
Given numbers has no common factors except 1. So, there LCM is their product i.e 192764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/192764
Therefore, the GCF of Fractions 2354/143,2387/1348 is 11/192764
Least Common Multiple of 143,1348 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 143,1348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,1348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,1348) x common factors =1 x 1 = 1
LCM(143,1348) = ( 143 × 1348 ) / 1
LCM(143,1348) = 192764 / 1
LCM(143,1348) = 192764
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FAQs on GCF of Fractions of 2354/143, 2387/1348
1. What is the HCF of 2354,2387?
The HCF of 2354,2387 is 11
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 2354/143, 2387/1348?
Answer: GCF of Numerators as per given numbers 2354/143, 2387/1348 is
GCF of Numerators i.e. for 2354,2387 is 11
LCM of denominators i.e. for 143,1348 is 192764.
Thus, GCF of Fractions is 11/192764.Finally, GCF of Fractions for 2354/143, 2387/1348 is 11/192764.