GCF of 8064/109, 6228/627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8064/109, 6228/627 i.e 36/68343 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8064/109, 6228/627.
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 8064/109,6228/627?
Given fractions are 8064/109,6228/627
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 8064/109,6228/627, numerators are 8064,6228
Denominators are 109,627
The GCF of 8064,6228 is 36 .
LCM of 109,627 is 68343.
The greatest common factor of 8064/109,6228/627 = [GCF of 8064,6228]/[LCM of 109,627]= 36/68343
Therefore, the GCF of 8064/109,6228/627 is 36/68343.
To find the highest common factor of 8064,6228, we have to find the factors of both numbers and list the highest common factor.
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
The factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228
The HCF of 8064,6228 is 36.
Lets's calculate GCF of 8064,6228
| 2 | 8064, 6228 |
| 2 | 4032, 3114 |
| 3 | 2016, 1557 |
| 3 | 672, 519 |
| 224, 173 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 8064,6228 By Matching Biggest Common Factor Method
Now, list down the factors of 8064
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Now, list down the factors of 6228
:1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228
Greatest Common Factor
We found the factors 8064,6228 . The biggest common factor number is the GCF number.
So the greatest common factor 8064,6228 is 36.
Lets's calculate LCM of 109,627
Given numbers has no common factors except 1. So, there LCM is their product i.e 68343
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/68343
Therefore, the GCF of Fractions 8064/109,6228/627 is 36/68343
Least Common Multiple of 109,627 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 109,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,627) x common factors =1 x 1 = 1
LCM(109,627) = ( 109 × 627 ) / 1
LCM(109,627) = 68343 / 1
LCM(109,627) = 68343
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FAQs on GCF of Fractions of 8064/109, 6228/627
1. What is the HCF of 8064,6228?
The HCF of 8064,6228 is 36
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 8064/109, 6228/627?
Answer: GCF of Numerators as per given numbers 8064/109, 6228/627 is
GCF of Numerators i.e. for 8064,6228 is 36
LCM of denominators i.e. for 109,627 is 68343.
Thus, GCF of Fractions is 36/68343.Finally, GCF of Fractions for 8064/109, 6228/627 is 36/68343.