GCF of 4809/137, 1538/3200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4809/137, 1538/3200 i.e 1/438400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4809/137, 1538/3200.
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 4809/137,1538/3200?
Given fractions are 4809/137,1538/3200
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 4809/137,1538/3200, numerators are 4809,1538
Denominators are 137,3200
The GCF of 4809,1538 is 1 .
LCM of 137,3200 is 438400.
The greatest common factor of 4809/137,1538/3200 = [GCF of 4809,1538]/[LCM of 137,3200]= 1/438400
Therefore, the GCF of 4809/137,1538/3200 is 1/438400.
To find the highest common factor of 4809,1538, we have to find the factors of both numbers and list the highest common factor.
The factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809
The factors of 1538 are 1, 2, 769, 1538
The HCF of 4809,1538 is 1.
Lets's calculate GCF of 4809,1538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4809,1538 By Matching Biggest Common Factor Method
Now, list down the factors of 4809
:1,3,7,21,229,687,1603,4809
Now, list down the factors of 1538
:1,2,769,1538
Greatest Common Factor
We found the factors 4809,1538 . The biggest common factor number is the GCF number.
So the greatest common factor 4809,1538 is 1.
Lets's calculate LCM of 137,3200
Given numbers has no common factors except 1. So, there LCM is their product i.e 438400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438400
Therefore, the GCF of Fractions 4809/137,1538/3200 is 1/438400
Least Common Multiple of 137,3200 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 137,3200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,3200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,3200) x common factors =1 x 1 = 1
LCM(137,3200) = ( 137 × 3200 ) / 1
LCM(137,3200) = 438400 / 1
LCM(137,3200) = 438400
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FAQs on GCF of Fractions of 4809/137, 1538/3200
1. What is the HCF of 4809,1538?
The HCF of 4809,1538 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 4809/137, 1538/3200?
Answer: GCF of Numerators as per given numbers 4809/137, 1538/3200 is
GCF of Numerators i.e. for 4809,1538 is 1
LCM of denominators i.e. for 137,3200 is 438400.
Thus, GCF of Fractions is 1/438400.Finally, GCF of Fractions for 4809/137, 1538/3200 is 1/438400.