GCF of 6895/762, 8751/5729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6895/762, 8751/5729 i.e 1/4365498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6895/762, 8751/5729.
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 6895/762,8751/5729?
Given fractions are 6895/762,8751/5729
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 6895/762,8751/5729, numerators are 6895,8751
Denominators are 762,5729
The GCF of 6895,8751 is 1 .
LCM of 762,5729 is 4365498.
The greatest common factor of 6895/762,8751/5729 = [GCF of 6895,8751]/[LCM of 762,5729]= 1/4365498
Therefore, the GCF of 6895/762,8751/5729 is 1/4365498.
To find the highest common factor of 6895,8751, we have to find the factors of both numbers and list the highest common factor.
The factors of 6895 are 1, 5, 7, 35, 197, 985, 1379, 6895
The factors of 8751 are 1, 3, 2917, 8751
The HCF of 6895,8751 is 1.
Lets's calculate GCF of 6895,8751
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6895,8751 By Matching Biggest Common Factor Method
Now, list down the factors of 6895
:1,5,7,35,197,985,1379,6895
Now, list down the factors of 8751
:1,3,2917,8751
Greatest Common Factor
We found the factors 6895,8751 . The biggest common factor number is the GCF number.
So the greatest common factor 6895,8751 is 1.
Lets's calculate LCM of 762,5729
Given numbers has no common factors except 1. So, there LCM is their product i.e 4365498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4365498
Therefore, the GCF of Fractions 6895/762,8751/5729 is 1/4365498
Least Common Multiple of 762,5729 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 762,5729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,5729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,5729) x common factors =1 x 1 = 1
LCM(762,5729) = ( 762 × 5729 ) / 1
LCM(762,5729) = 4365498 / 1
LCM(762,5729) = 4365498
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FAQs on GCF of Fractions of 6895/762, 8751/5729
1. What is the HCF of 6895,8751?
The HCF of 6895,8751 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 6895/762, 8751/5729?
Answer: GCF of Numerators as per given numbers 6895/762, 8751/5729 is
GCF of Numerators i.e. for 6895,8751 is 1
LCM of denominators i.e. for 762,5729 is 4365498.
Thus, GCF of Fractions is 1/4365498.Finally, GCF of Fractions for 6895/762, 8751/5729 is 1/4365498.