GCF of 8286/739, 4143/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8286/739, 4143/554 i.e 4143/409406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8286/739, 4143/554.
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 8286/739,4143/554?
Given fractions are 8286/739,4143/554
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 8286/739,4143/554, numerators are 8286,4143
Denominators are 739,554
The GCF of 8286,4143 is 4143 .
LCM of 739,554 is 409406.
The greatest common factor of 8286/739,4143/554 = [GCF of 8286,4143]/[LCM of 739,554]= 4143/409406
Therefore, the GCF of 8286/739,4143/554 is 4143/409406.
To find the highest common factor of 8286,4143, we have to find the factors of both numbers and list the highest common factor.
The factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286
The factors of 4143 are 1, 3, 1381, 4143
The HCF of 8286,4143 is 4143.
Lets's calculate GCF of 8286,4143
| 3 | 8286, 4143 |
| 1381 | 2762, 1381 |
| 2, 1 |
∴ So the GCF of the given numbers is 3 x 1381 = 4143
Greatest Common Factor of 8286,4143 By Matching Biggest Common Factor Method
Now, list down the factors of 8286
:1,2,3,6,1381,2762,4143,8286
Now, list down the factors of 4143
:1,3,1381,4143
Greatest Common Factor
We found the factors 8286,4143 . The biggest common factor number is the GCF number.
So the greatest common factor 8286,4143 is 4143.
Lets's calculate LCM of 739,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 409406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4143/409406
Therefore, the GCF of Fractions 8286/739,4143/554 is 4143/409406
Least Common Multiple of 739,554 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 739,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,554) x common factors =1 x 1 = 1
LCM(739,554) = ( 739 × 554 ) / 1
LCM(739,554) = 409406 / 1
LCM(739,554) = 409406
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FAQs on GCF of Fractions of 8286/739, 4143/554
1. What is the HCF of 8286,4143?
The HCF of 8286,4143 is 4143
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 8286/739, 4143/554?
Answer: GCF of Numerators as per given numbers 8286/739, 4143/554 is
GCF of Numerators i.e. for 8286,4143 is 4143
LCM of denominators i.e. for 739,554 is 409406.
Thus, GCF of Fractions is 4143/409406.Finally, GCF of Fractions for 8286/739, 4143/554 is 4143/409406.