GCF of 4239/978, 2355/1478
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4239/978, 2355/1478 i.e 471/722742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4239/978, 2355/1478.
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 4239/978,2355/1478?
Given fractions are 4239/978,2355/1478
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 4239/978,2355/1478, numerators are 4239,2355
Denominators are 978,1478
The GCF of 4239,2355 is 471 .
LCM of 978,1478 is 722742.
The greatest common factor of 4239/978,2355/1478 = [GCF of 4239,2355]/[LCM of 978,1478]= 471/722742
Therefore, the GCF of 4239/978,2355/1478 is 471/722742.
To find the highest common factor of 4239,2355, we have to find the factors of both numbers and list the highest common factor.
The factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239
The factors of 2355 are 1, 3, 5, 15, 157, 471, 785, 2355
The HCF of 4239,2355 is 471.
Lets's calculate GCF of 4239,2355
| 3 | 4239, 2355 |
| 157 | 1413, 785 |
| 9, 5 |
∴ So the GCF of the given numbers is 3 x 157 = 471
Greatest Common Factor of 4239,2355 By Matching Biggest Common Factor Method
Now, list down the factors of 4239
:1,3,9,27,157,471,1413,4239
Now, list down the factors of 2355
:1,3,5,15,157,471,785,2355
Greatest Common Factor
We found the factors 4239,2355 . The biggest common factor number is the GCF number.
So the greatest common factor 4239,2355 is 471.
Lets's calculate LCM of 978,1478
| 2 | 978, 1478 |
| 489, 739 |
∴ So the LCM of the given numbers is 2 x 489 x 739 = 722742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 471/722742
Therefore, the GCF of Fractions 4239/978,2355/1478 is 471/722742
Least Common Multiple of 978,1478 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 978,1478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1478) x common factors =2 x 1 = 2
LCM(978,1478) = ( 978 × 1478 ) / 2
LCM(978,1478) = 1445484 / 2
LCM(978,1478) = 722742
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FAQs on GCF of Fractions of 4239/978, 2355/1478
1. What is the HCF of 4239,2355?
The HCF of 4239,2355 is 471
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 4239/978, 2355/1478?
Answer: GCF of Numerators as per given numbers 4239/978, 2355/1478 is
GCF of Numerators i.e. for 4239,2355 is 471
LCM of denominators i.e. for 978,1478 is 722742.
Thus, GCF of Fractions is 471/722742.Finally, GCF of Fractions for 4239/978, 2355/1478 is 471/722742.