GCF of 6900/635, 9981/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6900/635, 9981/449 i.e 3/285115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6900/635, 9981/449.
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 6900/635,9981/449?
Given fractions are 6900/635,9981/449
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 6900/635,9981/449, numerators are 6900,9981
Denominators are 635,449
The GCF of 6900,9981 is 3 .
LCM of 635,449 is 285115.
The greatest common factor of 6900/635,9981/449 = [GCF of 6900,9981]/[LCM of 635,449]= 3/285115
Therefore, the GCF of 6900/635,9981/449 is 3/285115.
To find the highest common factor of 6900,9981, we have to find the factors of both numbers and list the highest common factor.
The factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900
The factors of 9981 are 1, 3, 9, 1109, 3327, 9981
The HCF of 6900,9981 is 3.
Lets's calculate GCF of 6900,9981
| 3 | 6900, 9981 |
| 2300, 3327 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6900,9981 By Matching Biggest Common Factor Method
Now, list down the factors of 6900
:1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Now, list down the factors of 9981
:1,3,9,1109,3327,9981
Greatest Common Factor
We found the factors 6900,9981 . The biggest common factor number is the GCF number.
So the greatest common factor 6900,9981 is 3.
Lets's calculate LCM of 635,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 285115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/285115
Therefore, the GCF of Fractions 6900/635,9981/449 is 3/285115
Least Common Multiple of 635,449 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 635,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,449) x common factors =1 x 1 = 1
LCM(635,449) = ( 635 × 449 ) / 1
LCM(635,449) = 285115 / 1
LCM(635,449) = 285115
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FAQs on GCF of Fractions of 6900/635, 9981/449
1. What is the HCF of 6900,9981?
The HCF of 6900,9981 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 6900/635, 9981/449?
Answer: GCF of Numerators as per given numbers 6900/635, 9981/449 is
GCF of Numerators i.e. for 6900,9981 is 3
LCM of denominators i.e. for 635,449 is 285115.
Thus, GCF of Fractions is 3/285115.Finally, GCF of Fractions for 6900/635, 9981/449 is 3/285115.