GCF of 7288/334, 6443/2149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7288/334, 6443/2149 i.e 1/717766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7288/334, 6443/2149.
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 7288/334,6443/2149?
Given fractions are 7288/334,6443/2149
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 7288/334,6443/2149, numerators are 7288,6443
Denominators are 334,2149
The GCF of 7288,6443 is 1 .
LCM of 334,2149 is 717766.
The greatest common factor of 7288/334,6443/2149 = [GCF of 7288,6443]/[LCM of 334,2149]= 1/717766
Therefore, the GCF of 7288/334,6443/2149 is 1/717766.
To find the highest common factor of 7288,6443, we have to find the factors of both numbers and list the highest common factor.
The factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288
The factors of 6443 are 1, 17, 379, 6443
The HCF of 7288,6443 is 1.
Lets's calculate GCF of 7288,6443
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7288,6443 By Matching Biggest Common Factor Method
Now, list down the factors of 7288
:1,2,4,8,911,1822,3644,7288
Now, list down the factors of 6443
:1,17,379,6443
Greatest Common Factor
We found the factors 7288,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 7288,6443 is 1.
Lets's calculate LCM of 334,2149
Given numbers has no common factors except 1. So, there LCM is their product i.e 717766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717766
Therefore, the GCF of Fractions 7288/334,6443/2149 is 1/717766
Least Common Multiple of 334,2149 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 334,2149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,2149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,2149) x common factors =1 x 1 = 1
LCM(334,2149) = ( 334 × 2149 ) / 1
LCM(334,2149) = 717766 / 1
LCM(334,2149) = 717766
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FAQs on GCF of Fractions of 7288/334, 6443/2149
1. What is the HCF of 7288,6443?
The HCF of 7288,6443 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 7288/334, 6443/2149?
Answer: GCF of Numerators as per given numbers 7288/334, 6443/2149 is
GCF of Numerators i.e. for 7288,6443 is 1
LCM of denominators i.e. for 334,2149 is 717766.
Thus, GCF of Fractions is 1/717766.Finally, GCF of Fractions for 7288/334, 6443/2149 is 1/717766.