GCF of 7935/441, 6842/6183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7935/441, 6842/6183 i.e 1/302967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7935/441, 6842/6183.
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 7935/441,6842/6183?
Given fractions are 7935/441,6842/6183
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 7935/441,6842/6183, numerators are 7935,6842
Denominators are 441,6183
The GCF of 7935,6842 is 1 .
LCM of 441,6183 is 302967.
The greatest common factor of 7935/441,6842/6183 = [GCF of 7935,6842]/[LCM of 441,6183]= 1/302967
Therefore, the GCF of 7935/441,6842/6183 is 1/302967.
To find the highest common factor of 7935,6842, we have to find the factors of both numbers and list the highest common factor.
The factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935
The factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842
The HCF of 7935,6842 is 1.
Lets's calculate GCF of 7935,6842
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7935,6842 By Matching Biggest Common Factor Method
Now, list down the factors of 7935
:1,3,5,15,23,69,115,345,529,1587,2645,7935
Now, list down the factors of 6842
:1,2,11,22,311,622,3421,6842
Greatest Common Factor
We found the factors 7935,6842 . The biggest common factor number is the GCF number.
So the greatest common factor 7935,6842 is 1.
Lets's calculate LCM of 441,6183
| 3 | 441, 6183 |
| 3 | 147, 2061 |
| 49, 687 |
∴ So the LCM of the given numbers is 3 x 3 x 49 x 687 = 302967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302967
Therefore, the GCF of Fractions 7935/441,6842/6183 is 1/302967
Least Common Multiple of 441,6183 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 441,6183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,6183) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(441,6183) x common factors =9 x 1 = 9
LCM(441,6183) = ( 441 × 6183 ) / 9
LCM(441,6183) = 2726703 / 9
LCM(441,6183) = 302967
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FAQs on GCF of Fractions of 7935/441, 6842/6183
1. What is the HCF of 7935,6842?
The HCF of 7935,6842 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 7935/441, 6842/6183?
Answer: GCF of Numerators as per given numbers 7935/441, 6842/6183 is
GCF of Numerators i.e. for 7935,6842 is 1
LCM of denominators i.e. for 441,6183 is 302967.
Thus, GCF of Fractions is 1/302967.Finally, GCF of Fractions for 7935/441, 6842/6183 is 1/302967.