GCF of 4018/831, 5530/3794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4018/831, 5530/3794 i.e 14/3152814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4018/831, 5530/3794.
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 4018/831,5530/3794?
Given fractions are 4018/831,5530/3794
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 4018/831,5530/3794, numerators are 4018,5530
Denominators are 831,3794
The GCF of 4018,5530 is 14 .
LCM of 831,3794 is 3152814.
The greatest common factor of 4018/831,5530/3794 = [GCF of 4018,5530]/[LCM of 831,3794]= 14/3152814
Therefore, the GCF of 4018/831,5530/3794 is 14/3152814.
To find the highest common factor of 4018,5530, we have to find the factors of both numbers and list the highest common factor.
The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The HCF of 4018,5530 is 14.
Lets's calculate GCF of 4018,5530
| 2 | 4018, 5530 |
| 7 | 2009, 2765 |
| 287, 395 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4018,5530 By Matching Biggest Common Factor Method
Now, list down the factors of 4018
:1,2,7,14,41,49,82,98,287,574,2009,4018
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Greatest Common Factor
We found the factors 4018,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 4018,5530 is 14.
Lets's calculate LCM of 831,3794
Given numbers has no common factors except 1. So, there LCM is their product i.e 3152814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3152814
Therefore, the GCF of Fractions 4018/831,5530/3794 is 14/3152814
Least Common Multiple of 831,3794 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 831,3794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,3794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,3794) x common factors =1 x 1 = 1
LCM(831,3794) = ( 831 × 3794 ) / 1
LCM(831,3794) = 3152814 / 1
LCM(831,3794) = 3152814
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FAQs on GCF of Fractions of 4018/831, 5530/3794
1. What is the HCF of 4018,5530?
The HCF of 4018,5530 is 14
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 4018/831, 5530/3794?
Answer: GCF of Numerators as per given numbers 4018/831, 5530/3794 is
GCF of Numerators i.e. for 4018,5530 is 14
LCM of denominators i.e. for 831,3794 is 3152814.
Thus, GCF of Fractions is 14/3152814.Finally, GCF of Fractions for 4018/831, 5530/3794 is 14/3152814.