GCF of 5776/656, 7035/2303
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5776/656, 7035/2303 i.e 1/1510768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5776/656, 7035/2303.
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 5776/656,7035/2303?
Given fractions are 5776/656,7035/2303
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 5776/656,7035/2303, numerators are 5776,7035
Denominators are 656,2303
The GCF of 5776,7035 is 1 .
LCM of 656,2303 is 1510768.
The greatest common factor of 5776/656,7035/2303 = [GCF of 5776,7035]/[LCM of 656,2303]= 1/1510768
Therefore, the GCF of 5776/656,7035/2303 is 1/1510768.
To find the highest common factor of 5776,7035, we have to find the factors of both numbers and list the highest common factor.
The factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776
The factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035
The HCF of 5776,7035 is 1.
Lets's calculate GCF of 5776,7035
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5776,7035 By Matching Biggest Common Factor Method
Now, list down the factors of 5776
:1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776
Now, list down the factors of 7035
:1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035
Greatest Common Factor
We found the factors 5776,7035 . The biggest common factor number is the GCF number.
So the greatest common factor 5776,7035 is 1.
Lets's calculate LCM of 656,2303
Given numbers has no common factors except 1. So, there LCM is their product i.e 1510768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1510768
Therefore, the GCF of Fractions 5776/656,7035/2303 is 1/1510768
Least Common Multiple of 656,2303 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 656,2303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,2303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,2303) x common factors =1 x 1 = 1
LCM(656,2303) = ( 656 × 2303 ) / 1
LCM(656,2303) = 1510768 / 1
LCM(656,2303) = 1510768
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5776/656, 7035/2303
1. What is the HCF of 5776,7035?
The HCF of 5776,7035 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 5776/656, 7035/2303?
Answer: GCF of Numerators as per given numbers 5776/656, 7035/2303 is
GCF of Numerators i.e. for 5776,7035 is 1
LCM of denominators i.e. for 656,2303 is 1510768.
Thus, GCF of Fractions is 1/1510768.Finally, GCF of Fractions for 5776/656, 7035/2303 is 1/1510768.