GCF of 5732/301, 9748/603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5732/301, 9748/603 i.e 4/181503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5732/301, 9748/603.
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 5732/301,9748/603?
Given fractions are 5732/301,9748/603
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 5732/301,9748/603, numerators are 5732,9748
Denominators are 301,603
The GCF of 5732,9748 is 4 .
LCM of 301,603 is 181503.
The greatest common factor of 5732/301,9748/603 = [GCF of 5732,9748]/[LCM of 301,603]= 4/181503
Therefore, the GCF of 5732/301,9748/603 is 4/181503.
To find the highest common factor of 5732,9748, we have to find the factors of both numbers and list the highest common factor.
The factors of 5732 are 1, 2, 4, 1433, 2866, 5732
The factors of 9748 are 1, 2, 4, 2437, 4874, 9748
The HCF of 5732,9748 is 4.
Lets's calculate GCF of 5732,9748
| 2 | 5732, 9748 |
| 2 | 2866, 4874 |
| 1433, 2437 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5732,9748 By Matching Biggest Common Factor Method
Now, list down the factors of 5732
:1,2,4,1433,2866,5732
Now, list down the factors of 9748
:1,2,4,2437,4874,9748
Greatest Common Factor
We found the factors 5732,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 5732,9748 is 4.
Lets's calculate LCM of 301,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 181503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/181503
Therefore, the GCF of Fractions 5732/301,9748/603 is 4/181503
Least Common Multiple of 301,603 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 301,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,603) x common factors =1 x 1 = 1
LCM(301,603) = ( 301 × 603 ) / 1
LCM(301,603) = 181503 / 1
LCM(301,603) = 181503
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FAQs on GCF of Fractions of 5732/301, 9748/603
1. What is the HCF of 5732,9748?
The HCF of 5732,9748 is 4
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 5732/301, 9748/603?
Answer: GCF of Numerators as per given numbers 5732/301, 9748/603 is
GCF of Numerators i.e. for 5732,9748 is 4
LCM of denominators i.e. for 301,603 is 181503.
Thus, GCF of Fractions is 4/181503.Finally, GCF of Fractions for 5732/301, 9748/603 is 4/181503.