GCF of 6733/337, 5752/7040
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6733/337, 5752/7040 i.e 1/2372480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6733/337, 5752/7040.
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 6733/337,5752/7040?
Given fractions are 6733/337,5752/7040
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 6733/337,5752/7040, numerators are 6733,5752
Denominators are 337,7040
The GCF of 6733,5752 is 1 .
LCM of 337,7040 is 2372480.
The greatest common factor of 6733/337,5752/7040 = [GCF of 6733,5752]/[LCM of 337,7040]= 1/2372480
Therefore, the GCF of 6733/337,5752/7040 is 1/2372480.
To find the highest common factor of 6733,5752, we have to find the factors of both numbers and list the highest common factor.
The factors of 6733 are 1, 6733
The factors of 5752 are 1, 2, 4, 8, 719, 1438, 2876, 5752
The HCF of 6733,5752 is 1.
Lets's calculate GCF of 6733,5752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6733,5752 By Matching Biggest Common Factor Method
Now, list down the factors of 6733
:1,6733
Now, list down the factors of 5752
:1,2,4,8,719,1438,2876,5752
Greatest Common Factor
We found the factors 6733,5752 . The biggest common factor number is the GCF number.
So the greatest common factor 6733,5752 is 1.
Lets's calculate LCM of 337,7040
Given numbers has no common factors except 1. So, there LCM is their product i.e 2372480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2372480
Therefore, the GCF of Fractions 6733/337,5752/7040 is 1/2372480
Least Common Multiple of 337,7040 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 337,7040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,7040) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,7040) x common factors =1 x 1 = 1
LCM(337,7040) = ( 337 × 7040 ) / 1
LCM(337,7040) = 2372480 / 1
LCM(337,7040) = 2372480
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FAQs on GCF of Fractions of 6733/337, 5752/7040
1. What is the HCF of 6733,5752?
The HCF of 6733,5752 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 6733/337, 5752/7040?
Answer: GCF of Numerators as per given numbers 6733/337, 5752/7040 is
GCF of Numerators i.e. for 6733,5752 is 1
LCM of denominators i.e. for 337,7040 is 2372480.
Thus, GCF of Fractions is 1/2372480.Finally, GCF of Fractions for 6733/337, 5752/7040 is 1/2372480.