GCF of 2943/109, 2899/964
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2943/109, 2899/964 i.e 1/105076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2943/109, 2899/964.
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 2943/109,2899/964?
Given fractions are 2943/109,2899/964
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 2943/109,2899/964, numerators are 2943,2899
Denominators are 109,964
The GCF of 2943,2899 is 1 .
LCM of 109,964 is 105076.
The greatest common factor of 2943/109,2899/964 = [GCF of 2943,2899]/[LCM of 109,964]= 1/105076
Therefore, the GCF of 2943/109,2899/964 is 1/105076.
To find the highest common factor of 2943,2899, we have to find the factors of both numbers and list the highest common factor.
The factors of 2943 are 1, 3, 9, 27, 109, 327, 981, 2943
The factors of 2899 are 1, 13, 223, 2899
The HCF of 2943,2899 is 1.
Lets's calculate GCF of 2943,2899
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2943,2899 By Matching Biggest Common Factor Method
Now, list down the factors of 2943
:1,3,9,27,109,327,981,2943
Now, list down the factors of 2899
:1,13,223,2899
Greatest Common Factor
We found the factors 2943,2899 . The biggest common factor number is the GCF number.
So the greatest common factor 2943,2899 is 1.
Lets's calculate LCM of 109,964
Given numbers has no common factors except 1. So, there LCM is their product i.e 105076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105076
Therefore, the GCF of Fractions 2943/109,2899/964 is 1/105076
Least Common Multiple of 109,964 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 109,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,964) x common factors =1 x 1 = 1
LCM(109,964) = ( 109 × 964 ) / 1
LCM(109,964) = 105076 / 1
LCM(109,964) = 105076
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FAQs on GCF of Fractions of 2943/109, 2899/964
1. What is the HCF of 2943,2899?
The HCF of 2943,2899 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 2943/109, 2899/964?
Answer: GCF of Numerators as per given numbers 2943/109, 2899/964 is
GCF of Numerators i.e. for 2943,2899 is 1
LCM of denominators i.e. for 109,964 is 105076.
Thus, GCF of Fractions is 1/105076.Finally, GCF of Fractions for 2943/109, 2899/964 is 1/105076.