GCF of 6835/981, 5643/3268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6835/981, 5643/3268 i.e 1/3205908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6835/981, 5643/3268.
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 6835/981,5643/3268?
Given fractions are 6835/981,5643/3268
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 6835/981,5643/3268, numerators are 6835,5643
Denominators are 981,3268
The GCF of 6835,5643 is 1 .
LCM of 981,3268 is 3205908.
The greatest common factor of 6835/981,5643/3268 = [GCF of 6835,5643]/[LCM of 981,3268]= 1/3205908
Therefore, the GCF of 6835/981,5643/3268 is 1/3205908.
To find the highest common factor of 6835,5643, we have to find the factors of both numbers and list the highest common factor.
The factors of 6835 are 1, 5, 1367, 6835
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The HCF of 6835,5643 is 1.
Lets's calculate GCF of 6835,5643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6835,5643 By Matching Biggest Common Factor Method
Now, list down the factors of 6835
:1,5,1367,6835
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Greatest Common Factor
We found the factors 6835,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 6835,5643 is 1.
Lets's calculate LCM of 981,3268
Given numbers has no common factors except 1. So, there LCM is their product i.e 3205908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3205908
Therefore, the GCF of Fractions 6835/981,5643/3268 is 1/3205908
Least Common Multiple of 981,3268 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 981,3268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,3268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,3268) x common factors =1 x 1 = 1
LCM(981,3268) = ( 981 × 3268 ) / 1
LCM(981,3268) = 3205908 / 1
LCM(981,3268) = 3205908
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FAQs on GCF of Fractions of 6835/981, 5643/3268
1. What is the HCF of 6835,5643?
The HCF of 6835,5643 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 6835/981, 5643/3268?
Answer: GCF of Numerators as per given numbers 6835/981, 5643/3268 is
GCF of Numerators i.e. for 6835,5643 is 1
LCM of denominators i.e. for 981,3268 is 3205908.
Thus, GCF of Fractions is 1/3205908.Finally, GCF of Fractions for 6835/981, 5643/3268 is 1/3205908.