GCF of 4899/709, 4154/5791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4899/709, 4154/5791 i.e 1/4105819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4899/709, 4154/5791.
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 4899/709,4154/5791?
Given fractions are 4899/709,4154/5791
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 4899/709,4154/5791, numerators are 4899,4154
Denominators are 709,5791
The GCF of 4899,4154 is 1 .
LCM of 709,5791 is 4105819.
The greatest common factor of 4899/709,4154/5791 = [GCF of 4899,4154]/[LCM of 709,5791]= 1/4105819
Therefore, the GCF of 4899/709,4154/5791 is 1/4105819.
To find the highest common factor of 4899,4154, we have to find the factors of both numbers and list the highest common factor.
The factors of 4899 are 1, 3, 23, 69, 71, 213, 1633, 4899
The factors of 4154 are 1, 2, 31, 62, 67, 134, 2077, 4154
The HCF of 4899,4154 is 1.
Lets's calculate GCF of 4899,4154
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4899,4154 By Matching Biggest Common Factor Method
Now, list down the factors of 4899
:1,3,23,69,71,213,1633,4899
Now, list down the factors of 4154
:1,2,31,62,67,134,2077,4154
Greatest Common Factor
We found the factors 4899,4154 . The biggest common factor number is the GCF number.
So the greatest common factor 4899,4154 is 1.
Lets's calculate LCM of 709,5791
Given numbers has no common factors except 1. So, there LCM is their product i.e 4105819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4105819
Therefore, the GCF of Fractions 4899/709,4154/5791 is 1/4105819
Least Common Multiple of 709,5791 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 709,5791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,5791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,5791) x common factors =1 x 1 = 1
LCM(709,5791) = ( 709 × 5791 ) / 1
LCM(709,5791) = 4105819 / 1
LCM(709,5791) = 4105819
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FAQs on GCF of Fractions of 4899/709, 4154/5791
1. What is the HCF of 4899,4154?
The HCF of 4899,4154 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 4899/709, 4154/5791?
Answer: GCF of Numerators as per given numbers 4899/709, 4154/5791 is
GCF of Numerators i.e. for 4899,4154 is 1
LCM of denominators i.e. for 709,5791 is 4105819.
Thus, GCF of Fractions is 1/4105819.Finally, GCF of Fractions for 4899/709, 4154/5791 is 1/4105819.