GCF of 4620/445, 7740/9248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4620/445, 7740/9248 i.e 60/4115360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4620/445, 7740/9248.
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 4620/445,7740/9248?
Given fractions are 4620/445,7740/9248
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 4620/445,7740/9248, numerators are 4620,7740
Denominators are 445,9248
The GCF of 4620,7740 is 60 .
LCM of 445,9248 is 4115360.
The greatest common factor of 4620/445,7740/9248 = [GCF of 4620,7740]/[LCM of 445,9248]= 60/4115360
Therefore, the GCF of 4620/445,7740/9248 is 60/4115360.
To find the highest common factor of 4620,7740, we have to find the factors of both numbers and list the highest common factor.
The factors of 4620 are 1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 14, 15, 20, 21, 22, 28, 30, 33, 35, 42, 44, 55, 60, 66, 70, 77, 84, 105, 110, 132, 140, 154, 165, 210, 220, 231, 308, 330, 385, 420, 462, 660, 770, 924, 1155, 1540, 2310, 4620
The factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740
The HCF of 4620,7740 is 60.
Lets's calculate GCF of 4620,7740
| 2 | 4620, 7740 |
| 2 | 2310, 3870 |
| 3 | 1155, 1935 |
| 5 | 385, 645 |
| 77, 129 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 4620,7740 By Matching Biggest Common Factor Method
Now, list down the factors of 4620
:1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620
Now, list down the factors of 7740
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740
Greatest Common Factor
We found the factors 4620,7740 . The biggest common factor number is the GCF number.
So the greatest common factor 4620,7740 is 60.
Lets's calculate LCM of 445,9248
Given numbers has no common factors except 1. So, there LCM is their product i.e 4115360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/4115360
Therefore, the GCF of Fractions 4620/445,7740/9248 is 60/4115360
Least Common Multiple of 445,9248 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 445,9248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,9248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,9248) x common factors =1 x 1 = 1
LCM(445,9248) = ( 445 × 9248 ) / 1
LCM(445,9248) = 4115360 / 1
LCM(445,9248) = 4115360
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FAQs on GCF of Fractions of 4620/445, 7740/9248
1. What is the HCF of 4620,7740?
The HCF of 4620,7740 is 60
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 4620/445, 7740/9248?
Answer: GCF of Numerators as per given numbers 4620/445, 7740/9248 is
GCF of Numerators i.e. for 4620,7740 is 60
LCM of denominators i.e. for 445,9248 is 4115360.
Thus, GCF of Fractions is 60/4115360.Finally, GCF of Fractions for 4620/445, 7740/9248 is 60/4115360.