GCF of 5580/396, 8610/7949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5580/396, 8610/7949 i.e 30/3147804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5580/396, 8610/7949.
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 5580/396,8610/7949?
Given fractions are 5580/396,8610/7949
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 5580/396,8610/7949, numerators are 5580,8610
Denominators are 396,7949
The GCF of 5580,8610 is 30 .
LCM of 396,7949 is 3147804.
The greatest common factor of 5580/396,8610/7949 = [GCF of 5580,8610]/[LCM of 396,7949]= 30/3147804
Therefore, the GCF of 5580/396,8610/7949 is 30/3147804.
To find the highest common factor of 5580,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 5580 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 5580,8610 is 30.
Lets's calculate GCF of 5580,8610
| 2 | 5580, 8610 |
| 3 | 2790, 4305 |
| 5 | 930, 1435 |
| 186, 287 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 5580,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 5580
:1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 5580,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 5580,8610 is 30.
Lets's calculate LCM of 396,7949
Given numbers has no common factors except 1. So, there LCM is their product i.e 3147804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/3147804
Therefore, the GCF of Fractions 5580/396,8610/7949 is 30/3147804
Least Common Multiple of 396,7949 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 396,7949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,7949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(396,7949) x common factors =1 x 1 = 1
LCM(396,7949) = ( 396 × 7949 ) / 1
LCM(396,7949) = 3147804 / 1
LCM(396,7949) = 3147804
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FAQs on GCF of Fractions of 5580/396, 8610/7949
1. What is the HCF of 5580,8610?
The HCF of 5580,8610 is 30
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 5580/396, 8610/7949?
Answer: GCF of Numerators as per given numbers 5580/396, 8610/7949 is
GCF of Numerators i.e. for 5580,8610 is 30
LCM of denominators i.e. for 396,7949 is 3147804.
Thus, GCF of Fractions is 30/3147804.Finally, GCF of Fractions for 5580/396, 8610/7949 is 30/3147804.