GCF of 5580/106, 2104/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5580/106, 2104/755 i.e 4/80030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5580/106, 2104/755.
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 5580/106,2104/755?
Given fractions are 5580/106,2104/755
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 5580/106,2104/755, numerators are 5580,2104
Denominators are 106,755
The GCF of 5580,2104 is 4 .
LCM of 106,755 is 80030.
The greatest common factor of 5580/106,2104/755 = [GCF of 5580,2104]/[LCM of 106,755]= 4/80030
Therefore, the GCF of 5580/106,2104/755 is 4/80030.
To find the highest common factor of 5580,2104, 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 2104 are 1, 2, 4, 8, 263, 526, 1052, 2104
The HCF of 5580,2104 is 4.
Lets's calculate GCF of 5580,2104
| 2 | 5580, 2104 |
| 2 | 2790, 1052 |
| 1395, 526 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5580,2104 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 2104
:1,2,4,8,263,526,1052,2104
Greatest Common Factor
We found the factors 5580,2104 . The biggest common factor number is the GCF number.
So the greatest common factor 5580,2104 is 4.
Lets's calculate LCM of 106,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 80030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/80030
Therefore, the GCF of Fractions 5580/106,2104/755 is 4/80030
Least Common Multiple of 106,755 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 106,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,755) x common factors =1 x 1 = 1
LCM(106,755) = ( 106 × 755 ) / 1
LCM(106,755) = 80030 / 1
LCM(106,755) = 80030
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FAQs on GCF of Fractions of 5580/106, 2104/755
1. What is the HCF of 5580,2104?
The HCF of 5580,2104 is 4
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 5580/106, 2104/755?
Answer: GCF of Numerators as per given numbers 5580/106, 2104/755 is
GCF of Numerators i.e. for 5580,2104 is 4
LCM of denominators i.e. for 106,755 is 80030.
Thus, GCF of Fractions is 4/80030.Finally, GCF of Fractions for 5580/106, 2104/755 is 4/80030.