GCF of 9304/634, 5766/6249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9304/634, 5766/6249 i.e 2/3961866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9304/634, 5766/6249.
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 9304/634,5766/6249?
Given fractions are 9304/634,5766/6249
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 9304/634,5766/6249, numerators are 9304,5766
Denominators are 634,6249
The GCF of 9304,5766 is 2 .
LCM of 634,6249 is 3961866.
The greatest common factor of 9304/634,5766/6249 = [GCF of 9304,5766]/[LCM of 634,6249]= 2/3961866
Therefore, the GCF of 9304/634,5766/6249 is 2/3961866.
To find the highest common factor of 9304,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 9304,5766 is 2.
Lets's calculate GCF of 9304,5766
| 2 | 9304, 5766 |
| 4652, 2883 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9304,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 9304
:1,2,4,8,1163,2326,4652,9304
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 9304,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 9304,5766 is 2.
Lets's calculate LCM of 634,6249
Given numbers has no common factors except 1. So, there LCM is their product i.e 3961866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3961866
Therefore, the GCF of Fractions 9304/634,5766/6249 is 2/3961866
Least Common Multiple of 634,6249 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 634,6249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,6249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,6249) x common factors =1 x 1 = 1
LCM(634,6249) = ( 634 × 6249 ) / 1
LCM(634,6249) = 3961866 / 1
LCM(634,6249) = 3961866
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9304/634, 5766/6249
1. What is the HCF of 9304,5766?
The HCF of 9304,5766 is 2
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 9304/634, 5766/6249?
Answer: GCF of Numerators as per given numbers 9304/634, 5766/6249 is
GCF of Numerators i.e. for 9304,5766 is 2
LCM of denominators i.e. for 634,6249 is 3961866.
Thus, GCF of Fractions is 2/3961866.Finally, GCF of Fractions for 9304/634, 5766/6249 is 2/3961866.