GCF of 7751/828, 9664/2897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7751/828, 9664/2897 i.e 1/2398716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7751/828, 9664/2897.
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 7751/828,9664/2897?
Given fractions are 7751/828,9664/2897
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 7751/828,9664/2897, numerators are 7751,9664
Denominators are 828,2897
The GCF of 7751,9664 is 1 .
LCM of 828,2897 is 2398716.
The greatest common factor of 7751/828,9664/2897 = [GCF of 7751,9664]/[LCM of 828,2897]= 1/2398716
Therefore, the GCF of 7751/828,9664/2897 is 1/2398716.
To find the highest common factor of 7751,9664, we have to find the factors of both numbers and list the highest common factor.
The factors of 7751 are 1, 23, 337, 7751
The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664
The HCF of 7751,9664 is 1.
Lets's calculate GCF of 7751,9664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7751,9664 By Matching Biggest Common Factor Method
Now, list down the factors of 7751
:1,23,337,7751
Now, list down the factors of 9664
:1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664
Greatest Common Factor
We found the factors 7751,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 7751,9664 is 1.
Lets's calculate LCM of 828,2897
Given numbers has no common factors except 1. So, there LCM is their product i.e 2398716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2398716
Therefore, the GCF of Fractions 7751/828,9664/2897 is 1/2398716
Least Common Multiple of 828,2897 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 828,2897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,2897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,2897) x common factors =1 x 1 = 1
LCM(828,2897) = ( 828 × 2897 ) / 1
LCM(828,2897) = 2398716 / 1
LCM(828,2897) = 2398716
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FAQs on GCF of Fractions of 7751/828, 9664/2897
1. What is the HCF of 7751,9664?
The HCF of 7751,9664 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 7751/828, 9664/2897?
Answer: GCF of Numerators as per given numbers 7751/828, 9664/2897 is
GCF of Numerators i.e. for 7751,9664 is 1
LCM of denominators i.e. for 828,2897 is 2398716.
Thus, GCF of Fractions is 1/2398716.Finally, GCF of Fractions for 7751/828, 9664/2897 is 1/2398716.