GCF of 7526/184, 8254/3041
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7526/184, 8254/3041 i.e 2/559544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7526/184, 8254/3041.
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 7526/184,8254/3041?
Given fractions are 7526/184,8254/3041
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 7526/184,8254/3041, numerators are 7526,8254
Denominators are 184,3041
The GCF of 7526,8254 is 2 .
LCM of 184,3041 is 559544.
The greatest common factor of 7526/184,8254/3041 = [GCF of 7526,8254]/[LCM of 184,3041]= 2/559544
Therefore, the GCF of 7526/184,8254/3041 is 2/559544.
To find the highest common factor of 7526,8254, we have to find the factors of both numbers and list the highest common factor.
The factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526
The factors of 8254 are 1, 2, 4127, 8254
The HCF of 7526,8254 is 2.
Lets's calculate GCF of 7526,8254
| 2 | 7526, 8254 |
| 3763, 4127 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7526,8254 By Matching Biggest Common Factor Method
Now, list down the factors of 7526
:1,2,53,71,106,142,3763,7526
Now, list down the factors of 8254
:1,2,4127,8254
Greatest Common Factor
We found the factors 7526,8254 . The biggest common factor number is the GCF number.
So the greatest common factor 7526,8254 is 2.
Lets's calculate LCM of 184,3041
Given numbers has no common factors except 1. So, there LCM is their product i.e 559544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/559544
Therefore, the GCF of Fractions 7526/184,8254/3041 is 2/559544
Least Common Multiple of 184,3041 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 184,3041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,3041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,3041) x common factors =1 x 1 = 1
LCM(184,3041) = ( 184 × 3041 ) / 1
LCM(184,3041) = 559544 / 1
LCM(184,3041) = 559544
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FAQs on GCF of Fractions of 7526/184, 8254/3041
1. What is the HCF of 7526,8254?
The HCF of 7526,8254 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 7526/184, 8254/3041?
Answer: GCF of Numerators as per given numbers 7526/184, 8254/3041 is
GCF of Numerators i.e. for 7526,8254 is 2
LCM of denominators i.e. for 184,3041 is 559544.
Thus, GCF of Fractions is 2/559544.Finally, GCF of Fractions for 7526/184, 8254/3041 is 2/559544.