GCF of 6312/286, 6195/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6312/286, 6195/320 i.e 3/45760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6312/286, 6195/320.
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 6312/286,6195/320?
Given fractions are 6312/286,6195/320
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 6312/286,6195/320, numerators are 6312,6195
Denominators are 286,320
The GCF of 6312,6195 is 3 .
LCM of 286,320 is 45760.
The greatest common factor of 6312/286,6195/320 = [GCF of 6312,6195]/[LCM of 286,320]= 3/45760
Therefore, the GCF of 6312/286,6195/320 is 3/45760.
To find the highest common factor of 6312,6195, we have to find the factors of both numbers and list the highest common factor.
The factors of 6312 are 1, 2, 3, 4, 6, 8, 12, 24, 263, 526, 789, 1052, 1578, 2104, 3156, 6312
The factors of 6195 are 1, 3, 5, 7, 15, 21, 35, 59, 105, 177, 295, 413, 885, 1239, 2065, 6195
The HCF of 6312,6195 is 3.
Lets's calculate GCF of 6312,6195
| 3 | 6312, 6195 |
| 2104, 2065 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6312,6195 By Matching Biggest Common Factor Method
Now, list down the factors of 6312
:1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312
Now, list down the factors of 6195
:1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Greatest Common Factor
We found the factors 6312,6195 . The biggest common factor number is the GCF number.
So the greatest common factor 6312,6195 is 3.
Lets's calculate LCM of 286,320
| 2 | 286, 320 |
| 143, 160 |
∴ So the LCM of the given numbers is 2 x 143 x 160 = 45760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45760
Therefore, the GCF of Fractions 6312/286,6195/320 is 3/45760
Least Common Multiple of 286,320 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 286,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,320) x common factors =2 x 1 = 2
LCM(286,320) = ( 286 × 320 ) / 2
LCM(286,320) = 91520 / 2
LCM(286,320) = 45760
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FAQs on GCF of Fractions of 6312/286, 6195/320
1. What is the HCF of 6312,6195?
The HCF of 6312,6195 is 3
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 6312/286, 6195/320?
Answer: GCF of Numerators as per given numbers 6312/286, 6195/320 is
GCF of Numerators i.e. for 6312,6195 is 3
LCM of denominators i.e. for 286,320 is 45760.
Thus, GCF of Fractions is 3/45760.Finally, GCF of Fractions for 6312/286, 6195/320 is 3/45760.