GCF of 5048/624, 9459/9265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5048/624, 9459/9265 i.e 1/5781360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5048/624, 9459/9265.
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 5048/624,9459/9265?
Given fractions are 5048/624,9459/9265
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 5048/624,9459/9265, numerators are 5048,9459
Denominators are 624,9265
The GCF of 5048,9459 is 1 .
LCM of 624,9265 is 5781360.
The greatest common factor of 5048/624,9459/9265 = [GCF of 5048,9459]/[LCM of 624,9265]= 1/5781360
Therefore, the GCF of 5048/624,9459/9265 is 1/5781360.
To find the highest common factor of 5048,9459, we have to find the factors of both numbers and list the highest common factor.
The factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048
The factors of 9459 are 1, 3, 9, 1051, 3153, 9459
The HCF of 5048,9459 is 1.
Lets's calculate GCF of 5048,9459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5048,9459 By Matching Biggest Common Factor Method
Now, list down the factors of 5048
:1,2,4,8,631,1262,2524,5048
Now, list down the factors of 9459
:1,3,9,1051,3153,9459
Greatest Common Factor
We found the factors 5048,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 5048,9459 is 1.
Lets's calculate LCM of 624,9265
Given numbers has no common factors except 1. So, there LCM is their product i.e 5781360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5781360
Therefore, the GCF of Fractions 5048/624,9459/9265 is 1/5781360
Least Common Multiple of 624,9265 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 624,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,9265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,9265) x common factors =1 x 1 = 1
LCM(624,9265) = ( 624 × 9265 ) / 1
LCM(624,9265) = 5781360 / 1
LCM(624,9265) = 5781360
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FAQs on GCF of Fractions of 5048/624, 9459/9265
1. What is the HCF of 5048,9459?
The HCF of 5048,9459 is 1
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 5048/624, 9459/9265?
Answer: GCF of Numerators as per given numbers 5048/624, 9459/9265 is
GCF of Numerators i.e. for 5048,9459 is 1
LCM of denominators i.e. for 624,9265 is 5781360.
Thus, GCF of Fractions is 1/5781360.Finally, GCF of Fractions for 5048/624, 9459/9265 is 1/5781360.