GCF of 9075/820, 6811/336
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9075/820, 6811/336 i.e 1/68880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9075/820, 6811/336.
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 9075/820,6811/336?
Given fractions are 9075/820,6811/336
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 9075/820,6811/336, numerators are 9075,6811
Denominators are 820,336
The GCF of 9075,6811 is 1 .
LCM of 820,336 is 68880.
The greatest common factor of 9075/820,6811/336 = [GCF of 9075,6811]/[LCM of 820,336]= 1/68880
Therefore, the GCF of 9075/820,6811/336 is 1/68880.
To find the highest common factor of 9075,6811, we have to find the factors of both numbers and list the highest common factor.
The factors of 9075 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025, 9075
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The HCF of 9075,6811 is 1.
Lets's calculate GCF of 9075,6811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9075,6811 By Matching Biggest Common Factor Method
Now, list down the factors of 9075
:1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Now, list down the factors of 6811
:1,7,49,139,973,6811
Greatest Common Factor
We found the factors 9075,6811 . The biggest common factor number is the GCF number.
So the greatest common factor 9075,6811 is 1.
Lets's calculate LCM of 820,336
| 2 | 820, 336 |
| 2 | 410, 168 |
| 205, 84 |
∴ So the LCM of the given numbers is 2 x 2 x 205 x 84 = 68880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68880
Therefore, the GCF of Fractions 9075/820,6811/336 is 1/68880
Least Common Multiple of 820,336 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 820,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,336) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(820,336) x common factors =4 x 1 = 4
LCM(820,336) = ( 820 × 336 ) / 4
LCM(820,336) = 275520 / 4
LCM(820,336) = 68880
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FAQs on GCF of Fractions of 9075/820, 6811/336
1. What is the HCF of 9075,6811?
The HCF of 9075,6811 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 9075/820, 6811/336?
Answer: GCF of Numerators as per given numbers 9075/820, 6811/336 is
GCF of Numerators i.e. for 9075,6811 is 1
LCM of denominators i.e. for 820,336 is 68880.
Thus, GCF of Fractions is 1/68880.Finally, GCF of Fractions for 9075/820, 6811/336 is 1/68880.