GCF of 1025/478, 9405/2912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1025/478, 9405/2912 i.e 5/695968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1025/478, 9405/2912.
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 1025/478,9405/2912?
Given fractions are 1025/478,9405/2912
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 1025/478,9405/2912, numerators are 1025,9405
Denominators are 478,2912
The GCF of 1025,9405 is 5 .
LCM of 478,2912 is 695968.
The greatest common factor of 1025/478,9405/2912 = [GCF of 1025,9405]/[LCM of 478,2912]= 5/695968
Therefore, the GCF of 1025/478,9405/2912 is 5/695968.
To find the highest common factor of 1025,9405, we have to find the factors of both numbers and list the highest common factor.
The factors of 1025 are 1, 5, 25, 41, 205, 1025
The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405
The HCF of 1025,9405 is 5.
Lets's calculate GCF of 1025,9405
| 5 | 1025, 9405 |
| 205, 1881 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1025,9405 By Matching Biggest Common Factor Method
Now, list down the factors of 1025
:1,5,25,41,205,1025
Now, list down the factors of 9405
:1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Greatest Common Factor
We found the factors 1025,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 1025,9405 is 5.
Lets's calculate LCM of 478,2912
| 2 | 478, 2912 |
| 239, 1456 |
∴ So the LCM of the given numbers is 2 x 239 x 1456 = 695968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/695968
Therefore, the GCF of Fractions 1025/478,9405/2912 is 5/695968
Least Common Multiple of 478,2912 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 478,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,2912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,2912) x common factors =2 x 1 = 2
LCM(478,2912) = ( 478 × 2912 ) / 2
LCM(478,2912) = 1391936 / 2
LCM(478,2912) = 695968
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FAQs on GCF of Fractions of 1025/478, 9405/2912
1. What is the HCF of 1025,9405?
The HCF of 1025,9405 is 5
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 1025/478, 9405/2912?
Answer: GCF of Numerators as per given numbers 1025/478, 9405/2912 is
GCF of Numerators i.e. for 1025,9405 is 5
LCM of denominators i.e. for 478,2912 is 695968.
Thus, GCF of Fractions is 5/695968.Finally, GCF of Fractions for 1025/478, 9405/2912 is 5/695968.