GCF of 8342/864, 3213/2887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8342/864, 3213/2887 i.e 1/2494368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8342/864, 3213/2887.
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 8342/864,3213/2887?
Given fractions are 8342/864,3213/2887
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 8342/864,3213/2887, numerators are 8342,3213
Denominators are 864,2887
The GCF of 8342,3213 is 1 .
LCM of 864,2887 is 2494368.
The greatest common factor of 8342/864,3213/2887 = [GCF of 8342,3213]/[LCM of 864,2887]= 1/2494368
Therefore, the GCF of 8342/864,3213/2887 is 1/2494368.
To find the highest common factor of 8342,3213, we have to find the factors of both numbers and list the highest common factor.
The factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The HCF of 8342,3213 is 1.
Lets's calculate GCF of 8342,3213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8342,3213 By Matching Biggest Common Factor Method
Now, list down the factors of 8342
:1,2,43,86,97,194,4171,8342
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Greatest Common Factor
We found the factors 8342,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 8342,3213 is 1.
Lets's calculate LCM of 864,2887
Given numbers has no common factors except 1. So, there LCM is their product i.e 2494368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2494368
Therefore, the GCF of Fractions 8342/864,3213/2887 is 1/2494368
Least Common Multiple of 864,2887 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 864,2887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,2887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(864,2887) x common factors =1 x 1 = 1
LCM(864,2887) = ( 864 × 2887 ) / 1
LCM(864,2887) = 2494368 / 1
LCM(864,2887) = 2494368
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FAQs on GCF of Fractions of 8342/864, 3213/2887
1. What is the HCF of 8342,3213?
The HCF of 8342,3213 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 8342/864, 3213/2887?
Answer: GCF of Numerators as per given numbers 8342/864, 3213/2887 is
GCF of Numerators i.e. for 8342,3213 is 1
LCM of denominators i.e. for 864,2887 is 2494368.
Thus, GCF of Fractions is 1/2494368.Finally, GCF of Fractions for 8342/864, 3213/2887 is 1/2494368.