GCF of 5118/463, 6030/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5118/463, 6030/958 i.e 6/443554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5118/463, 6030/958.
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 5118/463,6030/958?
Given fractions are 5118/463,6030/958
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 5118/463,6030/958, numerators are 5118,6030
Denominators are 463,958
The GCF of 5118,6030 is 6 .
LCM of 463,958 is 443554.
The greatest common factor of 5118/463,6030/958 = [GCF of 5118,6030]/[LCM of 463,958]= 6/443554
Therefore, the GCF of 5118/463,6030/958 is 6/443554.
To find the highest common factor of 5118,6030, we have to find the factors of both numbers and list the highest common factor.
The factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118
The factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030
The HCF of 5118,6030 is 6.
Lets's calculate GCF of 5118,6030
| 2 | 5118, 6030 |
| 3 | 2559, 3015 |
| 853, 1005 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5118,6030 By Matching Biggest Common Factor Method
Now, list down the factors of 5118
:1,2,3,6,853,1706,2559,5118
Now, list down the factors of 6030
:1,2,3,5,6,9,10,15,18,30,45,67,90,134,201,335,402,603,670,1005,1206,2010,3015,6030
Greatest Common Factor
We found the factors 5118,6030 . The biggest common factor number is the GCF number.
So the greatest common factor 5118,6030 is 6.
Lets's calculate LCM of 463,958
Given numbers has no common factors except 1. So, there LCM is their product i.e 443554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/443554
Therefore, the GCF of Fractions 5118/463,6030/958 is 6/443554
Least Common Multiple of 463,958 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 463,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,958) x common factors =1 x 1 = 1
LCM(463,958) = ( 463 × 958 ) / 1
LCM(463,958) = 443554 / 1
LCM(463,958) = 443554
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FAQs on GCF of Fractions of 5118/463, 6030/958
1. What is the HCF of 5118,6030?
The HCF of 5118,6030 is 6
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 5118/463, 6030/958?
Answer: GCF of Numerators as per given numbers 5118/463, 6030/958 is
GCF of Numerators i.e. for 5118,6030 is 6
LCM of denominators i.e. for 463,958 is 443554.
Thus, GCF of Fractions is 6/443554.Finally, GCF of Fractions for 5118/463, 6030/958 is 6/443554.