GCF of 4440/165, 5200/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4440/165, 5200/486 i.e 40/26730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4440/165, 5200/486.
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 4440/165,5200/486?
Given fractions are 4440/165,5200/486
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 4440/165,5200/486, numerators are 4440,5200
Denominators are 165,486
The GCF of 4440,5200 is 40 .
LCM of 165,486 is 26730.
The greatest common factor of 4440/165,5200/486 = [GCF of 4440,5200]/[LCM of 165,486]= 40/26730
Therefore, the GCF of 4440/165,5200/486 is 40/26730.
To find the highest common factor of 4440,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 4440,5200 is 40.
Lets's calculate GCF of 4440,5200
| 2 | 4440, 5200 |
| 2 | 2220, 2600 |
| 2 | 1110, 1300 |
| 5 | 555, 650 |
| 111, 130 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 4440,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 4440
:1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 4440,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 4440,5200 is 40.
Lets's calculate LCM of 165,486
| 3 | 165, 486 |
| 55, 162 |
∴ So the LCM of the given numbers is 3 x 55 x 162 = 26730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/26730
Therefore, the GCF of Fractions 4440/165,5200/486 is 40/26730
Least Common Multiple of 165,486 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 165,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,486) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(165,486) x common factors =3 x 1 = 3
LCM(165,486) = ( 165 × 486 ) / 3
LCM(165,486) = 80190 / 3
LCM(165,486) = 26730
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FAQs on GCF of Fractions of 4440/165, 5200/486
1. What is the HCF of 4440,5200?
The HCF of 4440,5200 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 4440/165, 5200/486?
Answer: GCF of Numerators as per given numbers 4440/165, 5200/486 is
GCF of Numerators i.e. for 4440,5200 is 40
LCM of denominators i.e. for 165,486 is 26730.
Thus, GCF of Fractions is 40/26730.Finally, GCF of Fractions for 4440/165, 5200/486 is 40/26730.