GCF of 4224/564, 8512/8823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4224/564, 8512/8823 i.e 64/1658724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4224/564, 8512/8823.
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 4224/564,8512/8823?
Given fractions are 4224/564,8512/8823
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 4224/564,8512/8823, numerators are 4224,8512
Denominators are 564,8823
The GCF of 4224,8512 is 64 .
LCM of 564,8823 is 1658724.
The greatest common factor of 4224/564,8512/8823 = [GCF of 4224,8512]/[LCM of 564,8823]= 64/1658724
Therefore, the GCF of 4224/564,8512/8823 is 64/1658724.
To find the highest common factor of 4224,8512, we have to find the factors of both numbers and list the highest common factor.
The factors of 4224 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 264, 352, 384, 528, 704, 1056, 1408, 2112, 4224
The factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512
The HCF of 4224,8512 is 64.
Lets's calculate GCF of 4224,8512
| 2 | 4224, 8512 |
| 2 | 2112, 4256 |
| 2 | 1056, 2128 |
| 2 | 528, 1064 |
| 2 | 264, 532 |
| 2 | 132, 266 |
| 66, 133 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 4224,8512 By Matching Biggest Common Factor Method
Now, list down the factors of 4224
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224
Now, list down the factors of 8512
:1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512
Greatest Common Factor
We found the factors 4224,8512 . The biggest common factor number is the GCF number.
So the greatest common factor 4224,8512 is 64.
Lets's calculate LCM of 564,8823
| 3 | 564, 8823 |
| 188, 2941 |
∴ So the LCM of the given numbers is 3 x 188 x 2941 = 1658724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/1658724
Therefore, the GCF of Fractions 4224/564,8512/8823 is 64/1658724
Least Common Multiple of 564,8823 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 564,8823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,8823) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,8823) x common factors =3 x 1 = 3
LCM(564,8823) = ( 564 × 8823 ) / 3
LCM(564,8823) = 4976172 / 3
LCM(564,8823) = 1658724
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FAQs on GCF of Fractions of 4224/564, 8512/8823
1. What is the HCF of 4224,8512?
The HCF of 4224,8512 is 64
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 4224/564, 8512/8823?
Answer: GCF of Numerators as per given numbers 4224/564, 8512/8823 is
GCF of Numerators i.e. for 4224,8512 is 64
LCM of denominators i.e. for 564,8823 is 1658724.
Thus, GCF of Fractions is 64/1658724.Finally, GCF of Fractions for 4224/564, 8512/8823 is 64/1658724.