GCF of 9713/949, 2011/1935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9713/949, 2011/1935 i.e 1/1836315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9713/949, 2011/1935.
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 9713/949,2011/1935?
Given fractions are 9713/949,2011/1935
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 9713/949,2011/1935, numerators are 9713,2011
Denominators are 949,1935
The GCF of 9713,2011 is 1 .
LCM of 949,1935 is 1836315.
The greatest common factor of 9713/949,2011/1935 = [GCF of 9713,2011]/[LCM of 949,1935]= 1/1836315
Therefore, the GCF of 9713/949,2011/1935 is 1/1836315.
To find the highest common factor of 9713,2011, we have to find the factors of both numbers and list the highest common factor.
The factors of 9713 are 1, 11, 883, 9713
The factors of 2011 are 1, 2011
The HCF of 9713,2011 is 1.
Lets's calculate GCF of 9713,2011
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9713,2011 By Matching Biggest Common Factor Method
Now, list down the factors of 9713
:1,11,883,9713
Now, list down the factors of 2011
:1,2011
Greatest Common Factor
We found the factors 9713,2011 . The biggest common factor number is the GCF number.
So the greatest common factor 9713,2011 is 1.
Lets's calculate LCM of 949,1935
Given numbers has no common factors except 1. So, there LCM is their product i.e 1836315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1836315
Therefore, the GCF of Fractions 9713/949,2011/1935 is 1/1836315
Least Common Multiple of 949,1935 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 949,1935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,1935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,1935) x common factors =1 x 1 = 1
LCM(949,1935) = ( 949 × 1935 ) / 1
LCM(949,1935) = 1836315 / 1
LCM(949,1935) = 1836315
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FAQs on GCF of Fractions of 9713/949, 2011/1935
1. What is the HCF of 9713,2011?
The HCF of 9713,2011 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 9713/949, 2011/1935?
Answer: GCF of Numerators as per given numbers 9713/949, 2011/1935 is
GCF of Numerators i.e. for 9713,2011 is 1
LCM of denominators i.e. for 949,1935 is 1836315.
Thus, GCF of Fractions is 1/1836315.Finally, GCF of Fractions for 9713/949, 2011/1935 is 1/1836315.