GCF of 6963/185, 6841/7430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6963/185, 6841/7430 i.e 1/274910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6963/185, 6841/7430.
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 6963/185,6841/7430?
Given fractions are 6963/185,6841/7430
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 6963/185,6841/7430, numerators are 6963,6841
Denominators are 185,7430
The GCF of 6963,6841 is 1 .
LCM of 185,7430 is 274910.
The greatest common factor of 6963/185,6841/7430 = [GCF of 6963,6841]/[LCM of 185,7430]= 1/274910
Therefore, the GCF of 6963/185,6841/7430 is 1/274910.
To find the highest common factor of 6963,6841, we have to find the factors of both numbers and list the highest common factor.
The factors of 6963 are 1, 3, 11, 33, 211, 633, 2321, 6963
The factors of 6841 are 1, 6841
The HCF of 6963,6841 is 1.
Lets's calculate GCF of 6963,6841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6963,6841 By Matching Biggest Common Factor Method
Now, list down the factors of 6963
:1,3,11,33,211,633,2321,6963
Now, list down the factors of 6841
:1,6841
Greatest Common Factor
We found the factors 6963,6841 . The biggest common factor number is the GCF number.
So the greatest common factor 6963,6841 is 1.
Lets's calculate LCM of 185,7430
| 5 | 185, 7430 |
| 37, 1486 |
∴ So the LCM of the given numbers is 5 x 37 x 1486 = 274910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274910
Therefore, the GCF of Fractions 6963/185,6841/7430 is 1/274910
Least Common Multiple of 185,7430 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 185,7430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,7430) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,7430) x common factors =5 x 1 = 5
LCM(185,7430) = ( 185 × 7430 ) / 5
LCM(185,7430) = 1374550 / 5
LCM(185,7430) = 274910
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FAQs on GCF of Fractions of 6963/185, 6841/7430
1. What is the HCF of 6963,6841?
The HCF of 6963,6841 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 6963/185, 6841/7430?
Answer: GCF of Numerators as per given numbers 6963/185, 6841/7430 is
GCF of Numerators i.e. for 6963,6841 is 1
LCM of denominators i.e. for 185,7430 is 274910.
Thus, GCF of Fractions is 1/274910.Finally, GCF of Fractions for 6963/185, 6841/7430 is 1/274910.