GCF of 8880/948, 3640/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8880/948, 3640/538 i.e 40/255012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8880/948, 3640/538.
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 8880/948,3640/538?
Given fractions are 8880/948,3640/538
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 8880/948,3640/538, numerators are 8880,3640
Denominators are 948,538
The GCF of 8880,3640 is 40 .
LCM of 948,538 is 255012.
The greatest common factor of 8880/948,3640/538 = [GCF of 8880,3640]/[LCM of 948,538]= 40/255012
Therefore, the GCF of 8880/948,3640/538 is 40/255012.
To find the highest common factor of 8880,3640, 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 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The HCF of 8880,3640 is 40.
Lets's calculate GCF of 8880,3640
| 2 | 8880, 3640 |
| 2 | 4440, 1820 |
| 2 | 2220, 910 |
| 5 | 1110, 455 |
| 222, 91 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 8880,3640 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 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors 8880,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 8880,3640 is 40.
Lets's calculate LCM of 948,538
| 2 | 948, 538 |
| 474, 269 |
∴ So the LCM of the given numbers is 2 x 474 x 269 = 255012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/255012
Therefore, the GCF of Fractions 8880/948,3640/538 is 40/255012
Least Common Multiple of 948,538 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 948,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(948,538) x common factors =2 x 1 = 2
LCM(948,538) = ( 948 × 538 ) / 2
LCM(948,538) = 510024 / 2
LCM(948,538) = 255012
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FAQs on GCF of Fractions of 8880/948, 3640/538
1. What is the HCF of 8880,3640?
The HCF of 8880,3640 is 40
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 8880/948, 3640/538?
Answer: GCF of Numerators as per given numbers 8880/948, 3640/538 is
GCF of Numerators i.e. for 8880,3640 is 40
LCM of denominators i.e. for 948,538 is 255012.
Thus, GCF of Fractions is 40/255012.Finally, GCF of Fractions for 8880/948, 3640/538 is 40/255012.