GCF of 6508/301, 3449/4328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6508/301, 3449/4328 i.e 1/1302728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6508/301, 3449/4328.
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 6508/301,3449/4328?
Given fractions are 6508/301,3449/4328
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 6508/301,3449/4328, numerators are 6508,3449
Denominators are 301,4328
The GCF of 6508,3449 is 1 .
LCM of 301,4328 is 1302728.
The greatest common factor of 6508/301,3449/4328 = [GCF of 6508,3449]/[LCM of 301,4328]= 1/1302728
Therefore, the GCF of 6508/301,3449/4328 is 1/1302728.
To find the highest common factor of 6508,3449, we have to find the factors of both numbers and list the highest common factor.
The factors of 6508 are 1, 2, 4, 1627, 3254, 6508
The factors of 3449 are 1, 3449
The HCF of 6508,3449 is 1.
Lets's calculate GCF of 6508,3449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6508,3449 By Matching Biggest Common Factor Method
Now, list down the factors of 6508
:1,2,4,1627,3254,6508
Now, list down the factors of 3449
:1,3449
Greatest Common Factor
We found the factors 6508,3449 . The biggest common factor number is the GCF number.
So the greatest common factor 6508,3449 is 1.
Lets's calculate LCM of 301,4328
Given numbers has no common factors except 1. So, there LCM is their product i.e 1302728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1302728
Therefore, the GCF of Fractions 6508/301,3449/4328 is 1/1302728
Least Common Multiple of 301,4328 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 301,4328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,4328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,4328) x common factors =1 x 1 = 1
LCM(301,4328) = ( 301 × 4328 ) / 1
LCM(301,4328) = 1302728 / 1
LCM(301,4328) = 1302728
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FAQs on GCF of Fractions of 6508/301, 3449/4328
1. What is the HCF of 6508,3449?
The HCF of 6508,3449 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 6508/301, 3449/4328?
Answer: GCF of Numerators as per given numbers 6508/301, 3449/4328 is
GCF of Numerators i.e. for 6508,3449 is 1
LCM of denominators i.e. for 301,4328 is 1302728.
Thus, GCF of Fractions is 1/1302728.Finally, GCF of Fractions for 6508/301, 3449/4328 is 1/1302728.