GCF of 7698/729, 6923/583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7698/729, 6923/583 i.e 1/425007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7698/729, 6923/583.
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 7698/729,6923/583?
Given fractions are 7698/729,6923/583
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 7698/729,6923/583, numerators are 7698,6923
Denominators are 729,583
The GCF of 7698,6923 is 1 .
LCM of 729,583 is 425007.
The greatest common factor of 7698/729,6923/583 = [GCF of 7698,6923]/[LCM of 729,583]= 1/425007
Therefore, the GCF of 7698/729,6923/583 is 1/425007.
To find the highest common factor of 7698,6923, we have to find the factors of both numbers and list the highest common factor.
The factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698
The factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923
The HCF of 7698,6923 is 1.
Lets's calculate GCF of 7698,6923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7698,6923 By Matching Biggest Common Factor Method
Now, list down the factors of 7698
:1,2,3,6,1283,2566,3849,7698
Now, list down the factors of 6923
:1,7,23,43,161,301,989,6923
Greatest Common Factor
We found the factors 7698,6923 . The biggest common factor number is the GCF number.
So the greatest common factor 7698,6923 is 1.
Lets's calculate LCM of 729,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 425007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425007
Therefore, the GCF of Fractions 7698/729,6923/583 is 1/425007
Least Common Multiple of 729,583 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 729,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,583) x common factors =1 x 1 = 1
LCM(729,583) = ( 729 × 583 ) / 1
LCM(729,583) = 425007 / 1
LCM(729,583) = 425007
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FAQs on GCF of Fractions of 7698/729, 6923/583
1. What is the HCF of 7698,6923?
The HCF of 7698,6923 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 7698/729, 6923/583?
Answer: GCF of Numerators as per given numbers 7698/729, 6923/583 is
GCF of Numerators i.e. for 7698,6923 is 1
LCM of denominators i.e. for 729,583 is 425007.
Thus, GCF of Fractions is 1/425007.Finally, GCF of Fractions for 7698/729, 6923/583 is 1/425007.