GCF of 2272/618, 8078/4741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2272/618, 8078/4741 i.e 2/2929938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2272/618, 8078/4741.
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 2272/618,8078/4741?
Given fractions are 2272/618,8078/4741
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 2272/618,8078/4741, numerators are 2272,8078
Denominators are 618,4741
The GCF of 2272,8078 is 2 .
LCM of 618,4741 is 2929938.
The greatest common factor of 2272/618,8078/4741 = [GCF of 2272,8078]/[LCM of 618,4741]= 2/2929938
Therefore, the GCF of 2272/618,8078/4741 is 2/2929938.
To find the highest common factor of 2272,8078, we have to find the factors of both numbers and list the highest common factor.
The factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The HCF of 2272,8078 is 2.
Lets's calculate GCF of 2272,8078
| 2 | 2272, 8078 |
| 1136, 4039 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2272,8078 By Matching Biggest Common Factor Method
Now, list down the factors of 2272
:1,2,4,8,16,32,71,142,284,568,1136,2272
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 2272,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 2272,8078 is 2.
Lets's calculate LCM of 618,4741
Given numbers has no common factors except 1. So, there LCM is their product i.e 2929938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2929938
Therefore, the GCF of Fractions 2272/618,8078/4741 is 2/2929938
Least Common Multiple of 618,4741 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 618,4741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,4741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(618,4741) x common factors =1 x 1 = 1
LCM(618,4741) = ( 618 × 4741 ) / 1
LCM(618,4741) = 2929938 / 1
LCM(618,4741) = 2929938
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FAQs on GCF of Fractions of 2272/618, 8078/4741
1. What is the HCF of 2272,8078?
The HCF of 2272,8078 is 2
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 2272/618, 8078/4741?
Answer: GCF of Numerators as per given numbers 2272/618, 8078/4741 is
GCF of Numerators i.e. for 2272,8078 is 2
LCM of denominators i.e. for 618,4741 is 2929938.
Thus, GCF of Fractions is 2/2929938.Finally, GCF of Fractions for 2272/618, 8078/4741 is 2/2929938.