GCF of 4523/318, 8078/346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4523/318, 8078/346 i.e 1/55014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4523/318, 8078/346.
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 4523/318,8078/346?
Given fractions are 4523/318,8078/346
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 4523/318,8078/346, numerators are 4523,8078
Denominators are 318,346
The GCF of 4523,8078 is 1 .
LCM of 318,346 is 55014.
The greatest common factor of 4523/318,8078/346 = [GCF of 4523,8078]/[LCM of 318,346]= 1/55014
Therefore, the GCF of 4523/318,8078/346 is 1/55014.
To find the highest common factor of 4523,8078, we have to find the factors of both numbers and list the highest common factor.
The factors of 4523 are 1, 4523
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The HCF of 4523,8078 is 1.
Lets's calculate GCF of 4523,8078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4523,8078 By Matching Biggest Common Factor Method
Now, list down the factors of 4523
:1,4523
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 4523,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 4523,8078 is 1.
Lets's calculate LCM of 318,346
| 2 | 318, 346 |
| 159, 173 |
∴ So the LCM of the given numbers is 2 x 159 x 173 = 55014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55014
Therefore, the GCF of Fractions 4523/318,8078/346 is 1/55014
Least Common Multiple of 318,346 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 318,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,346) x common factors =2 x 1 = 2
LCM(318,346) = ( 318 × 346 ) / 2
LCM(318,346) = 110028 / 2
LCM(318,346) = 55014
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FAQs on GCF of Fractions of 4523/318, 8078/346
1. What is the HCF of 4523,8078?
The HCF of 4523,8078 is 1
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 4523/318, 8078/346?
Answer: GCF of Numerators as per given numbers 4523/318, 8078/346 is
GCF of Numerators i.e. for 4523,8078 is 1
LCM of denominators i.e. for 318,346 is 55014.
Thus, GCF of Fractions is 1/55014.Finally, GCF of Fractions for 4523/318, 8078/346 is 1/55014.