GCF of 8880/242, 5424/8648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8880/242, 5424/8648 i.e 48/1046408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8880/242, 5424/8648.
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 8880/242,5424/8648?
Given fractions are 8880/242,5424/8648
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 8880/242,5424/8648, numerators are 8880,5424
Denominators are 242,8648
The GCF of 8880,5424 is 48 .
LCM of 242,8648 is 1046408.
The greatest common factor of 8880/242,5424/8648 = [GCF of 8880,5424]/[LCM of 242,8648]= 48/1046408
Therefore, the GCF of 8880/242,5424/8648 is 48/1046408.
To find the highest common factor of 8880,5424, we have to find the factors of both numbers and list the highest common factor.
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
The HCF of 8880,5424 is 48.
Lets's calculate GCF of 8880,5424
| 2 | 8880, 5424 |
| 2 | 4440, 2712 |
| 2 | 2220, 1356 |
| 2 | 1110, 678 |
| 3 | 555, 339 |
| 185, 113 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 8880,5424 By Matching Biggest Common Factor Method
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Now, list down the factors of 5424
:1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424
Greatest Common Factor
We found the factors 8880,5424 . The biggest common factor number is the GCF number.
So the greatest common factor 8880,5424 is 48.
Lets's calculate LCM of 242,8648
| 2 | 242, 8648 |
| 121, 4324 |
∴ So the LCM of the given numbers is 2 x 121 x 4324 = 1046408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/1046408
Therefore, the GCF of Fractions 8880/242,5424/8648 is 48/1046408
Least Common Multiple of 242,8648 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 242,8648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,8648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,8648) x common factors =2 x 1 = 2
LCM(242,8648) = ( 242 × 8648 ) / 2
LCM(242,8648) = 2092816 / 2
LCM(242,8648) = 1046408
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FAQs on GCF of Fractions of 8880/242, 5424/8648
1. What is the HCF of 8880,5424?
The HCF of 8880,5424 is 48
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 8880/242, 5424/8648?
Answer: GCF of Numerators as per given numbers 8880/242, 5424/8648 is
GCF of Numerators i.e. for 8880,5424 is 48
LCM of denominators i.e. for 242,8648 is 1046408.
Thus, GCF of Fractions is 48/1046408.Finally, GCF of Fractions for 8880/242, 5424/8648 is 48/1046408.