GCF of 5011/726, 7913/1900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5011/726, 7913/1900 i.e 1/689700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5011/726, 7913/1900.
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 5011/726,7913/1900?
Given fractions are 5011/726,7913/1900
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 5011/726,7913/1900, numerators are 5011,7913
Denominators are 726,1900
The GCF of 5011,7913 is 1 .
LCM of 726,1900 is 689700.
The greatest common factor of 5011/726,7913/1900 = [GCF of 5011,7913]/[LCM of 726,1900]= 1/689700
Therefore, the GCF of 5011/726,7913/1900 is 1/689700.
To find the highest common factor of 5011,7913, we have to find the factors of both numbers and list the highest common factor.
The factors of 5011 are 1, 5011
The factors of 7913 are 1, 41, 193, 7913
The HCF of 5011,7913 is 1.
Lets's calculate GCF of 5011,7913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5011,7913 By Matching Biggest Common Factor Method
Now, list down the factors of 5011
:1,5011
Now, list down the factors of 7913
:1,41,193,7913
Greatest Common Factor
We found the factors 5011,7913 . The biggest common factor number is the GCF number.
So the greatest common factor 5011,7913 is 1.
Lets's calculate LCM of 726,1900
| 2 | 726, 1900 |
| 363, 950 |
∴ So the LCM of the given numbers is 2 x 363 x 950 = 689700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689700
Therefore, the GCF of Fractions 5011/726,7913/1900 is 1/689700
Least Common Multiple of 726,1900 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 726,1900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,1900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,1900) x common factors =2 x 1 = 2
LCM(726,1900) = ( 726 × 1900 ) / 2
LCM(726,1900) = 1379400 / 2
LCM(726,1900) = 689700
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FAQs on GCF of Fractions of 5011/726, 7913/1900
1. What is the HCF of 5011,7913?
The HCF of 5011,7913 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 5011/726, 7913/1900?
Answer: GCF of Numerators as per given numbers 5011/726, 7913/1900 is
GCF of Numerators i.e. for 5011,7913 is 1
LCM of denominators i.e. for 726,1900 is 689700.
Thus, GCF of Fractions is 1/689700.Finally, GCF of Fractions for 5011/726, 7913/1900 is 1/689700.