GCF of 5978/818, 2318/4768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5978/818, 2318/4768 i.e 122/1950112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5978/818, 2318/4768.
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 5978/818,2318/4768?
Given fractions are 5978/818,2318/4768
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 5978/818,2318/4768, numerators are 5978,2318
Denominators are 818,4768
The GCF of 5978,2318 is 122 .
LCM of 818,4768 is 1950112.
The greatest common factor of 5978/818,2318/4768 = [GCF of 5978,2318]/[LCM of 818,4768]= 122/1950112
Therefore, the GCF of 5978/818,2318/4768 is 122/1950112.
To find the highest common factor of 5978,2318, we have to find the factors of both numbers and list the highest common factor.
The factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978
The factors of 2318 are 1, 2, 19, 38, 61, 122, 1159, 2318
The HCF of 5978,2318 is 122.
Lets's calculate GCF of 5978,2318
| 2 | 5978, 2318 |
| 61 | 2989, 1159 |
| 49, 19 |
∴ So the GCF of the given numbers is 2 x 61 = 122
Greatest Common Factor of 5978,2318 By Matching Biggest Common Factor Method
Now, list down the factors of 5978
:1,2,7,14,49,61,98,122,427,854,2989,5978
Now, list down the factors of 2318
:1,2,19,38,61,122,1159,2318
Greatest Common Factor
We found the factors 5978,2318 . The biggest common factor number is the GCF number.
So the greatest common factor 5978,2318 is 122.
Lets's calculate LCM of 818,4768
| 2 | 818, 4768 |
| 409, 2384 |
∴ So the LCM of the given numbers is 2 x 409 x 2384 = 1950112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 122/1950112
Therefore, the GCF of Fractions 5978/818,2318/4768 is 122/1950112
Least Common Multiple of 818,4768 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 818,4768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,4768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,4768) x common factors =2 x 1 = 2
LCM(818,4768) = ( 818 × 4768 ) / 2
LCM(818,4768) = 3900224 / 2
LCM(818,4768) = 1950112
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FAQs on GCF of Fractions of 5978/818, 2318/4768
1. What is the HCF of 5978,2318?
The HCF of 5978,2318 is 122
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 5978/818, 2318/4768?
Answer: GCF of Numerators as per given numbers 5978/818, 2318/4768 is
GCF of Numerators i.e. for 5978,2318 is 122
LCM of denominators i.e. for 818,4768 is 1950112.
Thus, GCF of Fractions is 122/1950112.Finally, GCF of Fractions for 5978/818, 2318/4768 is 122/1950112.