GCF of 2481/276, 9420/5611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2481/276, 9420/5611 i.e 3/1548636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2481/276, 9420/5611.
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 2481/276,9420/5611?
Given fractions are 2481/276,9420/5611
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 2481/276,9420/5611, numerators are 2481,9420
Denominators are 276,5611
The GCF of 2481,9420 is 3 .
LCM of 276,5611 is 1548636.
The greatest common factor of 2481/276,9420/5611 = [GCF of 2481,9420]/[LCM of 276,5611]= 3/1548636
Therefore, the GCF of 2481/276,9420/5611 is 3/1548636.
To find the highest common factor of 2481,9420, we have to find the factors of both numbers and list the highest common factor.
The factors of 2481 are 1, 3, 827, 2481
The factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420
The HCF of 2481,9420 is 3.
Lets's calculate GCF of 2481,9420
| 3 | 2481, 9420 |
| 827, 3140 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2481,9420 By Matching Biggest Common Factor Method
Now, list down the factors of 2481
:1,3,827,2481
Now, list down the factors of 9420
:1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Greatest Common Factor
We found the factors 2481,9420 . The biggest common factor number is the GCF number.
So the greatest common factor 2481,9420 is 3.
Lets's calculate LCM of 276,5611
Given numbers has no common factors except 1. So, there LCM is their product i.e 1548636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1548636
Therefore, the GCF of Fractions 2481/276,9420/5611 is 3/1548636
Least Common Multiple of 276,5611 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 276,5611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,5611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(276,5611) x common factors =1 x 1 = 1
LCM(276,5611) = ( 276 × 5611 ) / 1
LCM(276,5611) = 1548636 / 1
LCM(276,5611) = 1548636
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FAQs on GCF of Fractions of 2481/276, 9420/5611
1. What is the HCF of 2481,9420?
The HCF of 2481,9420 is 3
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 2481/276, 9420/5611?
Answer: GCF of Numerators as per given numbers 2481/276, 9420/5611 is
GCF of Numerators i.e. for 2481,9420 is 3
LCM of denominators i.e. for 276,5611 is 1548636.
Thus, GCF of Fractions is 3/1548636.Finally, GCF of Fractions for 2481/276, 9420/5611 is 3/1548636.