GCF of 4770/446, 6580/1030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4770/446, 6580/1030 i.e 10/229690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4770/446, 6580/1030.
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 4770/446,6580/1030?
Given fractions are 4770/446,6580/1030
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 4770/446,6580/1030, numerators are 4770,6580
Denominators are 446,1030
The GCF of 4770,6580 is 10 .
LCM of 446,1030 is 229690.
The greatest common factor of 4770/446,6580/1030 = [GCF of 4770,6580]/[LCM of 446,1030]= 10/229690
Therefore, the GCF of 4770/446,6580/1030 is 10/229690.
To find the highest common factor of 4770,6580, we have to find the factors of both numbers and list the highest common factor.
The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770
The factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580
The HCF of 4770,6580 is 10.
Lets's calculate GCF of 4770,6580
| 2 | 4770, 6580 |
| 5 | 2385, 3290 |
| 477, 658 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4770,6580 By Matching Biggest Common Factor Method
Now, list down the factors of 4770
:1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Now, list down the factors of 6580
:1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Greatest Common Factor
We found the factors 4770,6580 . The biggest common factor number is the GCF number.
So the greatest common factor 4770,6580 is 10.
Lets's calculate LCM of 446,1030
| 2 | 446, 1030 |
| 223, 515 |
∴ So the LCM of the given numbers is 2 x 223 x 515 = 229690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/229690
Therefore, the GCF of Fractions 4770/446,6580/1030 is 10/229690
Least Common Multiple of 446,1030 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 446,1030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,1030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(446,1030) x common factors =2 x 1 = 2
LCM(446,1030) = ( 446 × 1030 ) / 2
LCM(446,1030) = 459380 / 2
LCM(446,1030) = 229690
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FAQs on GCF of Fractions of 4770/446, 6580/1030
1. What is the HCF of 4770,6580?
The HCF of 4770,6580 is 10
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 4770/446, 6580/1030?
Answer: GCF of Numerators as per given numbers 4770/446, 6580/1030 is
GCF of Numerators i.e. for 4770,6580 is 10
LCM of denominators i.e. for 446,1030 is 229690.
Thus, GCF of Fractions is 10/229690.Finally, GCF of Fractions for 4770/446, 6580/1030 is 10/229690.