GCF of 2994/324, 9683/9305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2994/324, 9683/9305 i.e 1/3014820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2994/324, 9683/9305.
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 2994/324,9683/9305?
Given fractions are 2994/324,9683/9305
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 2994/324,9683/9305, numerators are 2994,9683
Denominators are 324,9305
The GCF of 2994,9683 is 1 .
LCM of 324,9305 is 3014820.
The greatest common factor of 2994/324,9683/9305 = [GCF of 2994,9683]/[LCM of 324,9305]= 1/3014820
Therefore, the GCF of 2994/324,9683/9305 is 1/3014820.
To find the highest common factor of 2994,9683, we have to find the factors of both numbers and list the highest common factor.
The factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994
The factors of 9683 are 1, 23, 421, 9683
The HCF of 2994,9683 is 1.
Lets's calculate GCF of 2994,9683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2994,9683 By Matching Biggest Common Factor Method
Now, list down the factors of 2994
:1,2,3,6,499,998,1497,2994
Now, list down the factors of 9683
:1,23,421,9683
Greatest Common Factor
We found the factors 2994,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,9683 is 1.
Lets's calculate LCM of 324,9305
Given numbers has no common factors except 1. So, there LCM is their product i.e 3014820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3014820
Therefore, the GCF of Fractions 2994/324,9683/9305 is 1/3014820
Least Common Multiple of 324,9305 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 324,9305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,9305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,9305) x common factors =1 x 1 = 1
LCM(324,9305) = ( 324 × 9305 ) / 1
LCM(324,9305) = 3014820 / 1
LCM(324,9305) = 3014820
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FAQs on GCF of Fractions of 2994/324, 9683/9305
1. What is the HCF of 2994,9683?
The HCF of 2994,9683 is 1
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 2994/324, 9683/9305?
Answer: GCF of Numerators as per given numbers 2994/324, 9683/9305 is
GCF of Numerators i.e. for 2994,9683 is 1
LCM of denominators i.e. for 324,9305 is 3014820.
Thus, GCF of Fractions is 1/3014820.Finally, GCF of Fractions for 2994/324, 9683/9305 is 1/3014820.