GCF of 1438/320, 5509/484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1438/320, 5509/484 i.e 1/38720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1438/320, 5509/484.
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 1438/320,5509/484?
Given fractions are 1438/320,5509/484
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 1438/320,5509/484, numerators are 1438,5509
Denominators are 320,484
The GCF of 1438,5509 is 1 .
LCM of 320,484 is 38720.
The greatest common factor of 1438/320,5509/484 = [GCF of 1438,5509]/[LCM of 320,484]= 1/38720
Therefore, the GCF of 1438/320,5509/484 is 1/38720.
To find the highest common factor of 1438,5509, we have to find the factors of both numbers and list the highest common factor.
The factors of 1438 are 1, 2, 719, 1438
The factors of 5509 are 1, 7, 787, 5509
The HCF of 1438,5509 is 1.
Lets's calculate GCF of 1438,5509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1438,5509 By Matching Biggest Common Factor Method
Now, list down the factors of 1438
:1,2,719,1438
Now, list down the factors of 5509
:1,7,787,5509
Greatest Common Factor
We found the factors 1438,5509 . The biggest common factor number is the GCF number.
So the greatest common factor 1438,5509 is 1.
Lets's calculate LCM of 320,484
| 2 | 320, 484 |
| 2 | 160, 242 |
| 80, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 80 x 121 = 38720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38720
Therefore, the GCF of Fractions 1438/320,5509/484 is 1/38720
Least Common Multiple of 320,484 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 320,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(320,484) x common factors =4 x 1 = 4
LCM(320,484) = ( 320 × 484 ) / 4
LCM(320,484) = 154880 / 4
LCM(320,484) = 38720
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FAQs on GCF of Fractions of 1438/320, 5509/484
1. What is the HCF of 1438,5509?
The HCF of 1438,5509 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 1438/320, 5509/484?
Answer: GCF of Numerators as per given numbers 1438/320, 5509/484 is
GCF of Numerators i.e. for 1438,5509 is 1
LCM of denominators i.e. for 320,484 is 38720.
Thus, GCF of Fractions is 1/38720.Finally, GCF of Fractions for 1438/320, 5509/484 is 1/38720.