GCF of 5105/322, 5931/7302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5105/322, 5931/7302 i.e 1/1175622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5105/322, 5931/7302.
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 5105/322,5931/7302?
Given fractions are 5105/322,5931/7302
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 5105/322,5931/7302, numerators are 5105,5931
Denominators are 322,7302
The GCF of 5105,5931 is 1 .
LCM of 322,7302 is 1175622.
The greatest common factor of 5105/322,5931/7302 = [GCF of 5105,5931]/[LCM of 322,7302]= 1/1175622
Therefore, the GCF of 5105/322,5931/7302 is 1/1175622.
To find the highest common factor of 5105,5931, we have to find the factors of both numbers and list the highest common factor.
The factors of 5105 are 1, 5, 1021, 5105
The factors of 5931 are 1, 3, 9, 659, 1977, 5931
The HCF of 5105,5931 is 1.
Lets's calculate GCF of 5105,5931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5105,5931 By Matching Biggest Common Factor Method
Now, list down the factors of 5105
:1,5,1021,5105
Now, list down the factors of 5931
:1,3,9,659,1977,5931
Greatest Common Factor
We found the factors 5105,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 5105,5931 is 1.
Lets's calculate LCM of 322,7302
| 2 | 322, 7302 |
| 161, 3651 |
∴ So the LCM of the given numbers is 2 x 161 x 3651 = 1175622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1175622
Therefore, the GCF of Fractions 5105/322,5931/7302 is 1/1175622
Least Common Multiple of 322,7302 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 322,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,7302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,7302) x common factors =2 x 1 = 2
LCM(322,7302) = ( 322 × 7302 ) / 2
LCM(322,7302) = 2351244 / 2
LCM(322,7302) = 1175622
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FAQs on GCF of Fractions of 5105/322, 5931/7302
1. What is the HCF of 5105,5931?
The HCF of 5105,5931 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 5105/322, 5931/7302?
Answer: GCF of Numerators as per given numbers 5105/322, 5931/7302 is
GCF of Numerators i.e. for 5105,5931 is 1
LCM of denominators i.e. for 322,7302 is 1175622.
Thus, GCF of Fractions is 1/1175622.Finally, GCF of Fractions for 5105/322, 5931/7302 is 1/1175622.