GCF of 8103/565, 5442/5546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8103/565, 5442/5546 i.e 3/3133490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8103/565, 5442/5546.
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 8103/565,5442/5546?
Given fractions are 8103/565,5442/5546
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 8103/565,5442/5546, numerators are 8103,5442
Denominators are 565,5546
The GCF of 8103,5442 is 3 .
LCM of 565,5546 is 3133490.
The greatest common factor of 8103/565,5442/5546 = [GCF of 8103,5442]/[LCM of 565,5546]= 3/3133490
Therefore, the GCF of 8103/565,5442/5546 is 3/3133490.
To find the highest common factor of 8103,5442, we have to find the factors of both numbers and list the highest common factor.
The factors of 8103 are 1, 3, 37, 73, 111, 219, 2701, 8103
The factors of 5442 are 1, 2, 3, 6, 907, 1814, 2721, 5442
The HCF of 8103,5442 is 3.
Lets's calculate GCF of 8103,5442
| 3 | 8103, 5442 |
| 2701, 1814 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8103,5442 By Matching Biggest Common Factor Method
Now, list down the factors of 8103
:1,3,37,73,111,219,2701,8103
Now, list down the factors of 5442
:1,2,3,6,907,1814,2721,5442
Greatest Common Factor
We found the factors 8103,5442 . The biggest common factor number is the GCF number.
So the greatest common factor 8103,5442 is 3.
Lets's calculate LCM of 565,5546
Given numbers has no common factors except 1. So, there LCM is their product i.e 3133490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3133490
Therefore, the GCF of Fractions 8103/565,5442/5546 is 3/3133490
Least Common Multiple of 565,5546 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 565,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,5546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,5546) x common factors =1 x 1 = 1
LCM(565,5546) = ( 565 × 5546 ) / 1
LCM(565,5546) = 3133490 / 1
LCM(565,5546) = 3133490
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FAQs on GCF of Fractions of 8103/565, 5442/5546
1. What is the HCF of 8103,5442?
The HCF of 8103,5442 is 3
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 8103/565, 5442/5546?
Answer: GCF of Numerators as per given numbers 8103/565, 5442/5546 is
GCF of Numerators i.e. for 8103,5442 is 3
LCM of denominators i.e. for 565,5546 is 3133490.
Thus, GCF of Fractions is 3/3133490.Finally, GCF of Fractions for 8103/565, 5442/5546 is 3/3133490.