GCF of 6721/948, 7045/8761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6721/948, 7045/8761 i.e 1/8305428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6721/948, 7045/8761.
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 6721/948,7045/8761?
Given fractions are 6721/948,7045/8761
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 6721/948,7045/8761, numerators are 6721,7045
Denominators are 948,8761
The GCF of 6721,7045 is 1 .
LCM of 948,8761 is 8305428.
The greatest common factor of 6721/948,7045/8761 = [GCF of 6721,7045]/[LCM of 948,8761]= 1/8305428
Therefore, the GCF of 6721/948,7045/8761 is 1/8305428.
To find the highest common factor of 6721,7045, we have to find the factors of both numbers and list the highest common factor.
The factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721
The factors of 7045 are 1, 5, 1409, 7045
The HCF of 6721,7045 is 1.
Lets's calculate GCF of 6721,7045
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6721,7045 By Matching Biggest Common Factor Method
Now, list down the factors of 6721
:1,11,13,47,143,517,611,6721
Now, list down the factors of 7045
:1,5,1409,7045
Greatest Common Factor
We found the factors 6721,7045 . The biggest common factor number is the GCF number.
So the greatest common factor 6721,7045 is 1.
Lets's calculate LCM of 948,8761
Given numbers has no common factors except 1. So, there LCM is their product i.e 8305428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8305428
Therefore, the GCF of Fractions 6721/948,7045/8761 is 1/8305428
Least Common Multiple of 948,8761 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 948,8761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,8761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(948,8761) x common factors =1 x 1 = 1
LCM(948,8761) = ( 948 × 8761 ) / 1
LCM(948,8761) = 8305428 / 1
LCM(948,8761) = 8305428
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6721/948, 7045/8761
1. What is the HCF of 6721,7045?
The HCF of 6721,7045 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 6721/948, 7045/8761?
Answer: GCF of Numerators as per given numbers 6721/948, 7045/8761 is
GCF of Numerators i.e. for 6721,7045 is 1
LCM of denominators i.e. for 948,8761 is 8305428.
Thus, GCF of Fractions is 1/8305428.Finally, GCF of Fractions for 6721/948, 7045/8761 is 1/8305428.