GCF of 2232/717, 8896/1437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2232/717, 8896/1437 i.e 8/343443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2232/717, 8896/1437.
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 2232/717,8896/1437?
Given fractions are 2232/717,8896/1437
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 2232/717,8896/1437, numerators are 2232,8896
Denominators are 717,1437
The GCF of 2232,8896 is 8 .
LCM of 717,1437 is 343443.
The greatest common factor of 2232/717,8896/1437 = [GCF of 2232,8896]/[LCM of 717,1437]= 8/343443
Therefore, the GCF of 2232/717,8896/1437 is 8/343443.
To find the highest common factor of 2232,8896, we have to find the factors of both numbers and list the highest common factor.
The factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232
The factors of 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896
The HCF of 2232,8896 is 8.
Lets's calculate GCF of 2232,8896
| 2 | 2232, 8896 |
| 2 | 1116, 4448 |
| 2 | 558, 2224 |
| 279, 1112 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2232,8896 By Matching Biggest Common Factor Method
Now, list down the factors of 2232
:1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Now, list down the factors of 8896
:1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896
Greatest Common Factor
We found the factors 2232,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 2232,8896 is 8.
Lets's calculate LCM of 717,1437
| 3 | 717, 1437 |
| 239, 479 |
∴ So the LCM of the given numbers is 3 x 239 x 479 = 343443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/343443
Therefore, the GCF of Fractions 2232/717,8896/1437 is 8/343443
Least Common Multiple of 717,1437 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 717,1437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,1437) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,1437) x common factors =3 x 1 = 3
LCM(717,1437) = ( 717 × 1437 ) / 3
LCM(717,1437) = 1030329 / 3
LCM(717,1437) = 343443
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FAQs on GCF of Fractions of 2232/717, 8896/1437
1. What is the HCF of 2232,8896?
The HCF of 2232,8896 is 8
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 2232/717, 8896/1437?
Answer: GCF of Numerators as per given numbers 2232/717, 8896/1437 is
GCF of Numerators i.e. for 2232,8896 is 8
LCM of denominators i.e. for 717,1437 is 343443.
Thus, GCF of Fractions is 8/343443.Finally, GCF of Fractions for 2232/717, 8896/1437 is 8/343443.