GCF of 8772/296, 4408/6896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8772/296, 4408/6896 i.e 4/255152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8772/296, 4408/6896.
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 8772/296,4408/6896?
Given fractions are 8772/296,4408/6896
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 8772/296,4408/6896, numerators are 8772,4408
Denominators are 296,6896
The GCF of 8772,4408 is 4 .
LCM of 296,6896 is 255152.
The greatest common factor of 8772/296,4408/6896 = [GCF of 8772,4408]/[LCM of 296,6896]= 4/255152
Therefore, the GCF of 8772/296,4408/6896 is 4/255152.
To find the highest common factor of 8772,4408, we have to find the factors of both numbers and list the highest common factor.
The factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772
The factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408
The HCF of 8772,4408 is 4.
Lets's calculate GCF of 8772,4408
| 2 | 8772, 4408 |
| 2 | 4386, 2204 |
| 2193, 1102 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8772,4408 By Matching Biggest Common Factor Method
Now, list down the factors of 8772
:1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Now, list down the factors of 4408
:1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408
Greatest Common Factor
We found the factors 8772,4408 . The biggest common factor number is the GCF number.
So the greatest common factor 8772,4408 is 4.
Lets's calculate LCM of 296,6896
| 2 | 296, 6896 |
| 2 | 148, 3448 |
| 2 | 74, 1724 |
| 37, 862 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 862 = 255152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/255152
Therefore, the GCF of Fractions 8772/296,4408/6896 is 4/255152
Least Common Multiple of 296,6896 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 296,6896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,6896) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(296,6896) x common factors =8 x 1 = 8
LCM(296,6896) = ( 296 × 6896 ) / 8
LCM(296,6896) = 2041216 / 8
LCM(296,6896) = 255152
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FAQs on GCF of Fractions of 8772/296, 4408/6896
1. What is the HCF of 8772,4408?
The HCF of 8772,4408 is 4
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 8772/296, 4408/6896?
Answer: GCF of Numerators as per given numbers 8772/296, 4408/6896 is
GCF of Numerators i.e. for 8772,4408 is 4
LCM of denominators i.e. for 296,6896 is 255152.
Thus, GCF of Fractions is 4/255152.Finally, GCF of Fractions for 8772/296, 4408/6896 is 4/255152.