GCF of 4865/709, 9741/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4865/709, 9741/188 i.e 1/133292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4865/709, 9741/188.
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 4865/709,9741/188?
Given fractions are 4865/709,9741/188
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 4865/709,9741/188, numerators are 4865,9741
Denominators are 709,188
The GCF of 4865,9741 is 1 .
LCM of 709,188 is 133292.
The greatest common factor of 4865/709,9741/188 = [GCF of 4865,9741]/[LCM of 709,188]= 1/133292
Therefore, the GCF of 4865/709,9741/188 is 1/133292.
To find the highest common factor of 4865,9741, we have to find the factors of both numbers and list the highest common factor.
The factors of 4865 are 1, 5, 7, 35, 139, 695, 973, 4865
The factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741
The HCF of 4865,9741 is 1.
Lets's calculate GCF of 4865,9741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4865,9741 By Matching Biggest Common Factor Method
Now, list down the factors of 4865
:1,5,7,35,139,695,973,4865
Now, list down the factors of 9741
:1,3,17,51,191,573,3247,9741
Greatest Common Factor
We found the factors 4865,9741 . The biggest common factor number is the GCF number.
So the greatest common factor 4865,9741 is 1.
Lets's calculate LCM of 709,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 133292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133292
Therefore, the GCF of Fractions 4865/709,9741/188 is 1/133292
Least Common Multiple of 709,188 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 709,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,188) x common factors =1 x 1 = 1
LCM(709,188) = ( 709 × 188 ) / 1
LCM(709,188) = 133292 / 1
LCM(709,188) = 133292
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FAQs on GCF of Fractions of 4865/709, 9741/188
1. What is the HCF of 4865,9741?
The HCF of 4865,9741 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 4865/709, 9741/188?
Answer: GCF of Numerators as per given numbers 4865/709, 9741/188 is
GCF of Numerators i.e. for 4865,9741 is 1
LCM of denominators i.e. for 709,188 is 133292.
Thus, GCF of Fractions is 1/133292.Finally, GCF of Fractions for 4865/709, 9741/188 is 1/133292.