GCF of 96/199, 823/654, 926/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/199, 823/654, 926/764 i.e 1/49715772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/199, 823/654, 926/764.
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 96/199,823/654,926/764?
Given fractions are 96/199,823/654,926/764
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 96/199,823/654,926/764, numerators are 96,823,926
Denominators are 199,654,764
The GCF of 96,823,926 is 1 .
LCM of 199,654,764 is 49715772.
The greatest common factor of 96/199,823/654,926/764 = [GCF of 96,823,926]/[LCM of 199,654,764]= 1/49715772
Therefore, the GCF of 96/199,823/654,926/764 is 1/49715772.
To find the highest common factor of 96,823,926, 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 823 are 1, 823
The factors of 926 are 1, 2, 463, 926
The HCF of 96,823,926 is 1.
Lets's calculate GCF of 96,823,926
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,823,926 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 823
:1,823
Now, list down the factors of 926
:1,2,463,926
Greatest Common Factor
We found the factors 96,823,926 . The biggest common factor number is the GCF number.
So the greatest common factor 96,823,926 is 1.
Lets's calculate LCM of 199,654,764
| 2 | 199, 654, 764 |
| 199, 327, 382 |
∴ So the LCM of the given numbers is 2 x 199 x 327 x 382 = 49715772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49715772
Therefore, the GCF of Fractions 96/199,823/654,926/764 is 1/49715772
Least Common Multiple of 199,654,764 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 199,654,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,654,764) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(199,654,764) x common factors =1 x 2 = 2
LCM(199,654,764) = ( 199 × 654 × 764 ) / 2
LCM(199,654,764) = 99431544 / 2
LCM(199,654,764) = 49715772
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 96/199, 823/654, 926/764
1. What is the HCF of 96,823,926?
The HCF of 96,823,926 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 96/199, 823/654, 926/764?
Answer: GCF of Numerators as per given numbers 96/199, 823/654, 926/764 is
GCF of Numerators i.e. for 96,823,926 is 1
LCM of denominators i.e. for 199,654,764 is 49715772.
Thus, GCF of Fractions is 1/49715772.Finally, GCF of Fractions for 96/199, 823/654, 926/764 is 1/49715772.