GCF of 96/769, 1698/7741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/769, 1698/7741 i.e 6/5952829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/769, 1698/7741.
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 96/769,1698/7741?
Given fractions are 96/769,1698/7741
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 96/769,1698/7741, numerators are 96,1698
Denominators are 769,7741
The GCF of 96,1698 is 6 .
LCM of 769,7741 is 5952829.
The greatest common factor of 96/769,1698/7741 = [GCF of 96,1698]/[LCM of 769,7741]= 6/5952829
Therefore, the GCF of 96/769,1698/7741 is 6/5952829.
To find the highest common factor of 96,1698, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698
The HCF of 96,1698 is 6.
Lets's calculate GCF of 96,1698
| 2 | 96, 1698 |
| 3 | 48, 849 |
| 16, 283 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 96,1698 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 1698
:1,2,3,6,283,566,849,1698
Greatest Common Factor
We found the factors 96,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1698 is 6.
Lets's calculate LCM of 769,7741
Given numbers has no common factors except 1. So, there LCM is their product i.e 5952829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5952829
Therefore, the GCF of Fractions 96/769,1698/7741 is 6/5952829
Least Common Multiple of 769,7741 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 769,7741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,7741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,7741) x common factors =1 x 1 = 1
LCM(769,7741) = ( 769 × 7741 ) / 1
LCM(769,7741) = 5952829 / 1
LCM(769,7741) = 5952829
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 96/769, 1698/7741
1. What is the HCF of 96,1698?
The HCF of 96,1698 is 6
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 96/769, 1698/7741?
Answer: GCF of Numerators as per given numbers 96/769, 1698/7741 is
GCF of Numerators i.e. for 96,1698 is 6
LCM of denominators i.e. for 769,7741 is 5952829.
Thus, GCF of Fractions is 6/5952829.Finally, GCF of Fractions for 96/769, 1698/7741 is 6/5952829.