GCF of 4928/810, 5544/460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4928/810, 5544/460 i.e 616/37260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4928/810, 5544/460.
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 4928/810,5544/460?
Given fractions are 4928/810,5544/460
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 4928/810,5544/460, numerators are 4928,5544
Denominators are 810,460
The GCF of 4928,5544 is 616 .
LCM of 810,460 is 37260.
The greatest common factor of 4928/810,5544/460 = [GCF of 4928,5544]/[LCM of 810,460]= 616/37260
Therefore, the GCF of 4928/810,5544/460 is 616/37260.
To find the highest common factor of 4928,5544, we have to find the factors of both numbers and list the highest common factor.
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544
The HCF of 4928,5544 is 616.
Lets's calculate GCF of 4928,5544
| 2 | 4928, 5544 |
| 2 | 2464, 2772 |
| 2 | 1232, 1386 |
| 7 | 616, 693 |
| 11 | 88, 99 |
| 8, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 x 11 = 616
Greatest Common Factor of 4928,5544 By Matching Biggest Common Factor Method
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Now, list down the factors of 5544
:1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544
Greatest Common Factor
We found the factors 4928,5544 . The biggest common factor number is the GCF number.
So the greatest common factor 4928,5544 is 616.
Lets's calculate LCM of 810,460
| 2 | 810, 460 |
| 5 | 405, 230 |
| 81, 46 |
∴ So the LCM of the given numbers is 2 x 5 x 81 x 46 = 37260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 616/37260
Therefore, the GCF of Fractions 4928/810,5544/460 is 616/37260
Least Common Multiple of 810,460 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 810,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,460) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(810,460) x common factors =10 x 1 = 10
LCM(810,460) = ( 810 × 460 ) / 10
LCM(810,460) = 372600 / 10
LCM(810,460) = 37260
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FAQs on GCF of Fractions of 4928/810, 5544/460
1. What is the HCF of 4928,5544?
The HCF of 4928,5544 is 616
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 4928/810, 5544/460?
Answer: GCF of Numerators as per given numbers 4928/810, 5544/460 is
GCF of Numerators i.e. for 4928,5544 is 616
LCM of denominators i.e. for 810,460 is 37260.
Thus, GCF of Fractions is 616/37260.Finally, GCF of Fractions for 4928/810, 5544/460 is 616/37260.