GCF of 4486/128, 7778/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4486/128, 7778/241 i.e 2/30848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4486/128, 7778/241.
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 4486/128,7778/241?
Given fractions are 4486/128,7778/241
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 4486/128,7778/241, numerators are 4486,7778
Denominators are 128,241
The GCF of 4486,7778 is 2 .
LCM of 128,241 is 30848.
The greatest common factor of 4486/128,7778/241 = [GCF of 4486,7778]/[LCM of 128,241]= 2/30848
Therefore, the GCF of 4486/128,7778/241 is 2/30848.
To find the highest common factor of 4486,7778, we have to find the factors of both numbers and list the highest common factor.
The factors of 4486 are 1, 2, 2243, 4486
The factors of 7778 are 1, 2, 3889, 7778
The HCF of 4486,7778 is 2.
Lets's calculate GCF of 4486,7778
| 2 | 4486, 7778 |
| 2243, 3889 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4486,7778 By Matching Biggest Common Factor Method
Now, list down the factors of 4486
:1,2,2243,4486
Now, list down the factors of 7778
:1,2,3889,7778
Greatest Common Factor
We found the factors 4486,7778 . The biggest common factor number is the GCF number.
So the greatest common factor 4486,7778 is 2.
Lets's calculate LCM of 128,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 30848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30848
Therefore, the GCF of Fractions 4486/128,7778/241 is 2/30848
Least Common Multiple of 128,241 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 128,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,241) x common factors =1 x 1 = 1
LCM(128,241) = ( 128 × 241 ) / 1
LCM(128,241) = 30848 / 1
LCM(128,241) = 30848
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FAQs on GCF of Fractions of 4486/128, 7778/241
1. What is the HCF of 4486,7778?
The HCF of 4486,7778 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 4486/128, 7778/241?
Answer: GCF of Numerators as per given numbers 4486/128, 7778/241 is
GCF of Numerators i.e. for 4486,7778 is 2
LCM of denominators i.e. for 128,241 is 30848.
Thus, GCF of Fractions is 2/30848.Finally, GCF of Fractions for 4486/128, 7778/241 is 2/30848.