GCF of 2010/982, 2479/5400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2010/982, 2479/5400 i.e 67/2651400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2010/982, 2479/5400.
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 2010/982,2479/5400?
Given fractions are 2010/982,2479/5400
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 2010/982,2479/5400, numerators are 2010,2479
Denominators are 982,5400
The GCF of 2010,2479 is 67 .
LCM of 982,5400 is 2651400.
The greatest common factor of 2010/982,2479/5400 = [GCF of 2010,2479]/[LCM of 982,5400]= 67/2651400
Therefore, the GCF of 2010/982,2479/5400 is 67/2651400.
To find the highest common factor of 2010,2479, we have to find the factors of both numbers and list the highest common factor.
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
The factors of 2479 are 1, 37, 67, 2479
The HCF of 2010,2479 is 67.
Lets's calculate GCF of 2010,2479
| 67 | 2010, 2479 |
| 30, 37 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 2010,2479 By Matching Biggest Common Factor Method
Now, list down the factors of 2010
:1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Now, list down the factors of 2479
:1,37,67,2479
Greatest Common Factor
We found the factors 2010,2479 . The biggest common factor number is the GCF number.
So the greatest common factor 2010,2479 is 67.
Lets's calculate LCM of 982,5400
| 2 | 982, 5400 |
| 491, 2700 |
∴ So the LCM of the given numbers is 2 x 491 x 2700 = 2651400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/2651400
Therefore, the GCF of Fractions 2010/982,2479/5400 is 67/2651400
Least Common Multiple of 982,5400 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 982,5400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,5400) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,5400) x common factors =2 x 1 = 2
LCM(982,5400) = ( 982 × 5400 ) / 2
LCM(982,5400) = 5302800 / 2
LCM(982,5400) = 2651400
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FAQs on GCF of Fractions of 2010/982, 2479/5400
1. What is the HCF of 2010,2479?
The HCF of 2010,2479 is 67
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 2010/982, 2479/5400?
Answer: GCF of Numerators as per given numbers 2010/982, 2479/5400 is
GCF of Numerators i.e. for 2010,2479 is 67
LCM of denominators i.e. for 982,5400 is 2651400.
Thus, GCF of Fractions is 67/2651400.Finally, GCF of Fractions for 2010/982, 2479/5400 is 67/2651400.