GCF of 9148/579, 2530/8022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9148/579, 2530/8022 i.e 2/1548246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9148/579, 2530/8022.
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 9148/579,2530/8022?
Given fractions are 9148/579,2530/8022
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 9148/579,2530/8022, numerators are 9148,2530
Denominators are 579,8022
The GCF of 9148,2530 is 2 .
LCM of 579,8022 is 1548246.
The greatest common factor of 9148/579,2530/8022 = [GCF of 9148,2530]/[LCM of 579,8022]= 2/1548246
Therefore, the GCF of 9148/579,2530/8022 is 2/1548246.
To find the highest common factor of 9148,2530, we have to find the factors of both numbers and list the highest common factor.
The factors of 9148 are 1, 2, 4, 2287, 4574, 9148
The factors of 2530 are 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530
The HCF of 9148,2530 is 2.
Lets's calculate GCF of 9148,2530
| 2 | 9148, 2530 |
| 4574, 1265 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9148,2530 By Matching Biggest Common Factor Method
Now, list down the factors of 9148
:1,2,4,2287,4574,9148
Now, list down the factors of 2530
:1,2,5,10,11,22,23,46,55,110,115,230,253,506,1265,2530
Greatest Common Factor
We found the factors 9148,2530 . The biggest common factor number is the GCF number.
So the greatest common factor 9148,2530 is 2.
Lets's calculate LCM of 579,8022
| 3 | 579, 8022 |
| 193, 2674 |
∴ So the LCM of the given numbers is 3 x 193 x 2674 = 1548246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1548246
Therefore, the GCF of Fractions 9148/579,2530/8022 is 2/1548246
Least Common Multiple of 579,8022 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 579,8022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,8022) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,8022) x common factors =3 x 1 = 3
LCM(579,8022) = ( 579 × 8022 ) / 3
LCM(579,8022) = 4644738 / 3
LCM(579,8022) = 1548246
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FAQs on GCF of Fractions of 9148/579, 2530/8022
1. What is the HCF of 9148,2530?
The HCF of 9148,2530 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 9148/579, 2530/8022?
Answer: GCF of Numerators as per given numbers 9148/579, 2530/8022 is
GCF of Numerators i.e. for 9148,2530 is 2
LCM of denominators i.e. for 579,8022 is 1548246.
Thus, GCF of Fractions is 2/1548246.Finally, GCF of Fractions for 9148/579, 2530/8022 is 2/1548246.