GCF of 8808/296, 9876/524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8808/296, 9876/524 i.e 12/38776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8808/296, 9876/524.
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 8808/296,9876/524?
Given fractions are 8808/296,9876/524
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 8808/296,9876/524, numerators are 8808,9876
Denominators are 296,524
The GCF of 8808,9876 is 12 .
LCM of 296,524 is 38776.
The greatest common factor of 8808/296,9876/524 = [GCF of 8808,9876]/[LCM of 296,524]= 12/38776
Therefore, the GCF of 8808/296,9876/524 is 12/38776.
To find the highest common factor of 8808,9876, we have to find the factors of both numbers and list the highest common factor.
The factors of 8808 are 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The HCF of 8808,9876 is 12.
Lets's calculate GCF of 8808,9876
| 2 | 8808, 9876 |
| 2 | 4404, 4938 |
| 3 | 2202, 2469 |
| 734, 823 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8808,9876 By Matching Biggest Common Factor Method
Now, list down the factors of 8808
:1,2,3,4,6,8,12,24,367,734,1101,1468,2202,2936,4404,8808
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Greatest Common Factor
We found the factors 8808,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 8808,9876 is 12.
Lets's calculate LCM of 296,524
| 2 | 296, 524 |
| 2 | 148, 262 |
| 74, 131 |
∴ So the LCM of the given numbers is 2 x 2 x 74 x 131 = 38776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/38776
Therefore, the GCF of Fractions 8808/296,9876/524 is 12/38776
Least Common Multiple of 296,524 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 296,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(296,524) x common factors =4 x 1 = 4
LCM(296,524) = ( 296 × 524 ) / 4
LCM(296,524) = 155104 / 4
LCM(296,524) = 38776
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FAQs on GCF of Fractions of 8808/296, 9876/524
1. What is the HCF of 8808,9876?
The HCF of 8808,9876 is 12
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 8808/296, 9876/524?
Answer: GCF of Numerators as per given numbers 8808/296, 9876/524 is
GCF of Numerators i.e. for 8808,9876 is 12
LCM of denominators i.e. for 296,524 is 38776.
Thus, GCF of Fractions is 12/38776.Finally, GCF of Fractions for 8808/296, 9876/524 is 12/38776.