GCF of 6766/761, 9629/2275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6766/761, 9629/2275 i.e 1/1731275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6766/761, 9629/2275.
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 6766/761,9629/2275?
Given fractions are 6766/761,9629/2275
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 6766/761,9629/2275, numerators are 6766,9629
Denominators are 761,2275
The GCF of 6766,9629 is 1 .
LCM of 761,2275 is 1731275.
The greatest common factor of 6766/761,9629/2275 = [GCF of 6766,9629]/[LCM of 761,2275]= 1/1731275
Therefore, the GCF of 6766/761,9629/2275 is 1/1731275.
To find the highest common factor of 6766,9629, we have to find the factors of both numbers and list the highest common factor.
The factors of 6766 are 1, 2, 17, 34, 199, 398, 3383, 6766
The factors of 9629 are 1, 9629
The HCF of 6766,9629 is 1.
Lets's calculate GCF of 6766,9629
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6766,9629 By Matching Biggest Common Factor Method
Now, list down the factors of 6766
:1,2,17,34,199,398,3383,6766
Now, list down the factors of 9629
:1,9629
Greatest Common Factor
We found the factors 6766,9629 . The biggest common factor number is the GCF number.
So the greatest common factor 6766,9629 is 1.
Lets's calculate LCM of 761,2275
Given numbers has no common factors except 1. So, there LCM is their product i.e 1731275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1731275
Therefore, the GCF of Fractions 6766/761,9629/2275 is 1/1731275
Least Common Multiple of 761,2275 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 761,2275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,2275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,2275) x common factors =1 x 1 = 1
LCM(761,2275) = ( 761 × 2275 ) / 1
LCM(761,2275) = 1731275 / 1
LCM(761,2275) = 1731275
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FAQs on GCF of Fractions of 6766/761, 9629/2275
1. What is the HCF of 6766,9629?
The HCF of 6766,9629 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 6766/761, 9629/2275?
Answer: GCF of Numerators as per given numbers 6766/761, 9629/2275 is
GCF of Numerators i.e. for 6766,9629 is 1
LCM of denominators i.e. for 761,2275 is 1731275.
Thus, GCF of Fractions is 1/1731275.Finally, GCF of Fractions for 6766/761, 9629/2275 is 1/1731275.