GCF of 6244/718, 6733/4777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6244/718, 6733/4777 i.e 1/3429886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6244/718, 6733/4777.
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 6244/718,6733/4777?
Given fractions are 6244/718,6733/4777
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 6244/718,6733/4777, numerators are 6244,6733
Denominators are 718,4777
The GCF of 6244,6733 is 1 .
LCM of 718,4777 is 3429886.
The greatest common factor of 6244/718,6733/4777 = [GCF of 6244,6733]/[LCM of 718,4777]= 1/3429886
Therefore, the GCF of 6244/718,6733/4777 is 1/3429886.
To find the highest common factor of 6244,6733, we have to find the factors of both numbers and list the highest common factor.
The factors of 6244 are 1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244
The factors of 6733 are 1, 6733
The HCF of 6244,6733 is 1.
Lets's calculate GCF of 6244,6733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6244,6733 By Matching Biggest Common Factor Method
Now, list down the factors of 6244
:1,2,4,7,14,28,223,446,892,1561,3122,6244
Now, list down the factors of 6733
:1,6733
Greatest Common Factor
We found the factors 6244,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 6244,6733 is 1.
Lets's calculate LCM of 718,4777
Given numbers has no common factors except 1. So, there LCM is their product i.e 3429886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3429886
Therefore, the GCF of Fractions 6244/718,6733/4777 is 1/3429886
Least Common Multiple of 718,4777 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 718,4777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,4777) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(718,4777) x common factors =1 x 1 = 1
LCM(718,4777) = ( 718 × 4777 ) / 1
LCM(718,4777) = 3429886 / 1
LCM(718,4777) = 3429886
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6244/718, 6733/4777
1. What is the HCF of 6244,6733?
The HCF of 6244,6733 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 6244/718, 6733/4777?
Answer: GCF of Numerators as per given numbers 6244/718, 6733/4777 is
GCF of Numerators i.e. for 6244,6733 is 1
LCM of denominators i.e. for 718,4777 is 3429886.
Thus, GCF of Fractions is 1/3429886.Finally, GCF of Fractions for 6244/718, 6733/4777 is 1/3429886.