GCF of 4007/929, 4799/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4007/929, 4799/711 i.e 1/660519 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4007/929, 4799/711.
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 4007/929,4799/711?
Given fractions are 4007/929,4799/711
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 4007/929,4799/711, numerators are 4007,4799
Denominators are 929,711
The GCF of 4007,4799 is 1 .
LCM of 929,711 is 660519.
The greatest common factor of 4007/929,4799/711 = [GCF of 4007,4799]/[LCM of 929,711]= 1/660519
Therefore, the GCF of 4007/929,4799/711 is 1/660519.
To find the highest common factor of 4007,4799, we have to find the factors of both numbers and list the highest common factor.
The factors of 4007 are 1, 4007
The factors of 4799 are 1, 4799
The HCF of 4007,4799 is 1.
Lets's calculate GCF of 4007,4799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4007,4799 By Matching Biggest Common Factor Method
Now, list down the factors of 4007
:1,4007
Now, list down the factors of 4799
:1,4799
Greatest Common Factor
We found the factors 4007,4799 . The biggest common factor number is the GCF number.
So the greatest common factor 4007,4799 is 1.
Lets's calculate LCM of 929,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 660519
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660519
Therefore, the GCF of Fractions 4007/929,4799/711 is 1/660519
Least Common Multiple of 929,711 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 929,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,711) x common factors =1 x 1 = 1
LCM(929,711) = ( 929 × 711 ) / 1
LCM(929,711) = 660519 / 1
LCM(929,711) = 660519
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FAQs on GCF of Fractions of 4007/929, 4799/711
1. What is the HCF of 4007,4799?
The HCF of 4007,4799 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 4007/929, 4799/711?
Answer: GCF of Numerators as per given numbers 4007/929, 4799/711 is
GCF of Numerators i.e. for 4007,4799 is 1
LCM of denominators i.e. for 929,711 is 660519.
Thus, GCF of Fractions is 1/660519.Finally, GCF of Fractions for 4007/929, 4799/711 is 1/660519.