GCF of 3181/847, 5938/6895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3181/847, 5938/6895 i.e 1/834295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3181/847, 5938/6895.
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 3181/847,5938/6895?
Given fractions are 3181/847,5938/6895
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 3181/847,5938/6895, numerators are 3181,5938
Denominators are 847,6895
The GCF of 3181,5938 is 1 .
LCM of 847,6895 is 834295.
The greatest common factor of 3181/847,5938/6895 = [GCF of 3181,5938]/[LCM of 847,6895]= 1/834295
Therefore, the GCF of 3181/847,5938/6895 is 1/834295.
To find the highest common factor of 3181,5938, we have to find the factors of both numbers and list the highest common factor.
The factors of 3181 are 1, 3181
The factors of 5938 are 1, 2, 2969, 5938
The HCF of 3181,5938 is 1.
Lets's calculate GCF of 3181,5938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3181,5938 By Matching Biggest Common Factor Method
Now, list down the factors of 3181
:1,3181
Now, list down the factors of 5938
:1,2,2969,5938
Greatest Common Factor
We found the factors 3181,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 3181,5938 is 1.
Lets's calculate LCM of 847,6895
| 7 | 847, 6895 |
| 121, 985 |
∴ So the LCM of the given numbers is 7 x 121 x 985 = 834295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/834295
Therefore, the GCF of Fractions 3181/847,5938/6895 is 1/834295
Least Common Multiple of 847,6895 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 847,6895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,6895) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(847,6895) x common factors =7 x 1 = 7
LCM(847,6895) = ( 847 × 6895 ) / 7
LCM(847,6895) = 5840065 / 7
LCM(847,6895) = 834295
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FAQs on GCF of Fractions of 3181/847, 5938/6895
1. What is the HCF of 3181,5938?
The HCF of 3181,5938 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 3181/847, 5938/6895?
Answer: GCF of Numerators as per given numbers 3181/847, 5938/6895 is
GCF of Numerators i.e. for 3181,5938 is 1
LCM of denominators i.e. for 847,6895 is 834295.
Thus, GCF of Fractions is 1/834295.Finally, GCF of Fractions for 3181/847, 5938/6895 is 1/834295.