GCF of 2342/845, 6966/5846
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2342/845, 6966/5846 i.e 2/4939870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2342/845, 6966/5846.
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 2342/845,6966/5846?
Given fractions are 2342/845,6966/5846
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 2342/845,6966/5846, numerators are 2342,6966
Denominators are 845,5846
The GCF of 2342,6966 is 2 .
LCM of 845,5846 is 4939870.
The greatest common factor of 2342/845,6966/5846 = [GCF of 2342,6966]/[LCM of 845,5846]= 2/4939870
Therefore, the GCF of 2342/845,6966/5846 is 2/4939870.
To find the highest common factor of 2342,6966, we have to find the factors of both numbers and list the highest common factor.
The factors of 2342 are 1, 2, 1171, 2342
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The HCF of 2342,6966 is 2.
Lets's calculate GCF of 2342,6966
| 2 | 2342, 6966 |
| 1171, 3483 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2342,6966 By Matching Biggest Common Factor Method
Now, list down the factors of 2342
:1,2,1171,2342
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Greatest Common Factor
We found the factors 2342,6966 . The biggest common factor number is the GCF number.
So the greatest common factor 2342,6966 is 2.
Lets's calculate LCM of 845,5846
Given numbers has no common factors except 1. So, there LCM is their product i.e 4939870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4939870
Therefore, the GCF of Fractions 2342/845,6966/5846 is 2/4939870
Least Common Multiple of 845,5846 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 845,5846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,5846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,5846) x common factors =1 x 1 = 1
LCM(845,5846) = ( 845 × 5846 ) / 1
LCM(845,5846) = 4939870 / 1
LCM(845,5846) = 4939870
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FAQs on GCF of Fractions of 2342/845, 6966/5846
1. What is the HCF of 2342,6966?
The HCF of 2342,6966 is 2
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 2342/845, 6966/5846?
Answer: GCF of Numerators as per given numbers 2342/845, 6966/5846 is
GCF of Numerators i.e. for 2342,6966 is 2
LCM of denominators i.e. for 845,5846 is 4939870.
Thus, GCF of Fractions is 2/4939870.Finally, GCF of Fractions for 2342/845, 6966/5846 is 2/4939870.