GCF of 5493/605, 8442/5106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5493/605, 8442/5106 i.e 3/3089130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5493/605, 8442/5106.
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 5493/605,8442/5106?
Given fractions are 5493/605,8442/5106
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 5493/605,8442/5106, numerators are 5493,8442
Denominators are 605,5106
The GCF of 5493,8442 is 3 .
LCM of 605,5106 is 3089130.
The greatest common factor of 5493/605,8442/5106 = [GCF of 5493,8442]/[LCM of 605,5106]= 3/3089130
Therefore, the GCF of 5493/605,8442/5106 is 3/3089130.
To find the highest common factor of 5493,8442, we have to find the factors of both numbers and list the highest common factor.
The factors of 5493 are 1, 3, 1831, 5493
The factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442
The HCF of 5493,8442 is 3.
Lets's calculate GCF of 5493,8442
| 3 | 5493, 8442 |
| 1831, 2814 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5493,8442 By Matching Biggest Common Factor Method
Now, list down the factors of 5493
:1,3,1831,5493
Now, list down the factors of 8442
:1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442
Greatest Common Factor
We found the factors 5493,8442 . The biggest common factor number is the GCF number.
So the greatest common factor 5493,8442 is 3.
Lets's calculate LCM of 605,5106
Given numbers has no common factors except 1. So, there LCM is their product i.e 3089130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3089130
Therefore, the GCF of Fractions 5493/605,8442/5106 is 3/3089130
Least Common Multiple of 605,5106 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 605,5106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,5106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,5106) x common factors =1 x 1 = 1
LCM(605,5106) = ( 605 × 5106 ) / 1
LCM(605,5106) = 3089130 / 1
LCM(605,5106) = 3089130
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FAQs on GCF of Fractions of 5493/605, 8442/5106
1. What is the HCF of 5493,8442?
The HCF of 5493,8442 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 5493/605, 8442/5106?
Answer: GCF of Numerators as per given numbers 5493/605, 8442/5106 is
GCF of Numerators i.e. for 5493,8442 is 3
LCM of denominators i.e. for 605,5106 is 3089130.
Thus, GCF of Fractions is 3/3089130.Finally, GCF of Fractions for 5493/605, 8442/5106 is 3/3089130.