GCF of 7108/381, 4872/2287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7108/381, 4872/2287 i.e 4/871347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7108/381, 4872/2287.
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 7108/381,4872/2287?
Given fractions are 7108/381,4872/2287
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 7108/381,4872/2287, numerators are 7108,4872
Denominators are 381,2287
The GCF of 7108,4872 is 4 .
LCM of 381,2287 is 871347.
The greatest common factor of 7108/381,4872/2287 = [GCF of 7108,4872]/[LCM of 381,2287]= 4/871347
Therefore, the GCF of 7108/381,4872/2287 is 4/871347.
To find the highest common factor of 7108,4872, we have to find the factors of both numbers and list the highest common factor.
The factors of 7108 are 1, 2, 4, 1777, 3554, 7108
The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872
The HCF of 7108,4872 is 4.
Lets's calculate GCF of 7108,4872
| 2 | 7108, 4872 |
| 2 | 3554, 2436 |
| 1777, 1218 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7108,4872 By Matching Biggest Common Factor Method
Now, list down the factors of 7108
:1,2,4,1777,3554,7108
Now, list down the factors of 4872
:1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872
Greatest Common Factor
We found the factors 7108,4872 . The biggest common factor number is the GCF number.
So the greatest common factor 7108,4872 is 4.
Lets's calculate LCM of 381,2287
Given numbers has no common factors except 1. So, there LCM is their product i.e 871347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/871347
Therefore, the GCF of Fractions 7108/381,4872/2287 is 4/871347
Least Common Multiple of 381,2287 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 381,2287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,2287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,2287) x common factors =1 x 1 = 1
LCM(381,2287) = ( 381 × 2287 ) / 1
LCM(381,2287) = 871347 / 1
LCM(381,2287) = 871347
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FAQs on GCF of Fractions of 7108/381, 4872/2287
1. What is the HCF of 7108,4872?
The HCF of 7108,4872 is 4
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 7108/381, 4872/2287?
Answer: GCF of Numerators as per given numbers 7108/381, 4872/2287 is
GCF of Numerators i.e. for 7108,4872 is 4
LCM of denominators i.e. for 381,2287 is 871347.
Thus, GCF of Fractions is 4/871347.Finally, GCF of Fractions for 7108/381, 4872/2287 is 4/871347.