GCF of 5440/584, 6384/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5440/584, 6384/435 i.e 16/254040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5440/584, 6384/435.
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 5440/584,6384/435?
Given fractions are 5440/584,6384/435
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 5440/584,6384/435, numerators are 5440,6384
Denominators are 584,435
The GCF of 5440,6384 is 16 .
LCM of 584,435 is 254040.
The greatest common factor of 5440/584,6384/435 = [GCF of 5440,6384]/[LCM of 584,435]= 16/254040
Therefore, the GCF of 5440/584,6384/435 is 16/254040.
To find the highest common factor of 5440,6384, we have to find the factors of both numbers and list the highest common factor.
The factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440
The factors of 6384 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384
The HCF of 5440,6384 is 16.
Lets's calculate GCF of 5440,6384
| 2 | 5440, 6384 |
| 2 | 2720, 3192 |
| 2 | 1360, 1596 |
| 2 | 680, 798 |
| 340, 399 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5440,6384 By Matching Biggest Common Factor Method
Now, list down the factors of 5440
:1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440
Now, list down the factors of 6384
:1,2,3,4,6,7,8,12,14,16,19,21,24,28,38,42,48,56,57,76,84,112,114,133,152,168,228,266,304,336,399,456,532,798,912,1064,1596,2128,3192,6384
Greatest Common Factor
We found the factors 5440,6384 . The biggest common factor number is the GCF number.
So the greatest common factor 5440,6384 is 16.
Lets's calculate LCM of 584,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 254040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/254040
Therefore, the GCF of Fractions 5440/584,6384/435 is 16/254040
Least Common Multiple of 584,435 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 584,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,435) x common factors =1 x 1 = 1
LCM(584,435) = ( 584 × 435 ) / 1
LCM(584,435) = 254040 / 1
LCM(584,435) = 254040
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FAQs on GCF of Fractions of 5440/584, 6384/435
1. What is the HCF of 5440,6384?
The HCF of 5440,6384 is 16
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 5440/584, 6384/435?
Answer: GCF of Numerators as per given numbers 5440/584, 6384/435 is
GCF of Numerators i.e. for 5440,6384 is 16
LCM of denominators i.e. for 584,435 is 254040.
Thus, GCF of Fractions is 16/254040.Finally, GCF of Fractions for 5440/584, 6384/435 is 16/254040.