GCF of 4773/709, 8963/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4773/709, 8963/706 i.e 1/500554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4773/709, 8963/706.
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 4773/709,8963/706?
Given fractions are 4773/709,8963/706
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 4773/709,8963/706, numerators are 4773,8963
Denominators are 709,706
The GCF of 4773,8963 is 1 .
LCM of 709,706 is 500554.
The greatest common factor of 4773/709,8963/706 = [GCF of 4773,8963]/[LCM of 709,706]= 1/500554
Therefore, the GCF of 4773/709,8963/706 is 1/500554.
To find the highest common factor of 4773,8963, we have to find the factors of both numbers and list the highest common factor.
The factors of 4773 are 1, 3, 37, 43, 111, 129, 1591, 4773
The factors of 8963 are 1, 8963
The HCF of 4773,8963 is 1.
Lets's calculate GCF of 4773,8963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4773,8963 By Matching Biggest Common Factor Method
Now, list down the factors of 4773
:1,3,37,43,111,129,1591,4773
Now, list down the factors of 8963
:1,8963
Greatest Common Factor
We found the factors 4773,8963 . The biggest common factor number is the GCF number.
So the greatest common factor 4773,8963 is 1.
Lets's calculate LCM of 709,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 500554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/500554
Therefore, the GCF of Fractions 4773/709,8963/706 is 1/500554
Least Common Multiple of 709,706 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 709,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,706) x common factors =1 x 1 = 1
LCM(709,706) = ( 709 × 706 ) / 1
LCM(709,706) = 500554 / 1
LCM(709,706) = 500554
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FAQs on GCF of Fractions of 4773/709, 8963/706
1. What is the HCF of 4773,8963?
The HCF of 4773,8963 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 4773/709, 8963/706?
Answer: GCF of Numerators as per given numbers 4773/709, 8963/706 is
GCF of Numerators i.e. for 4773,8963 is 1
LCM of denominators i.e. for 709,706 is 500554.
Thus, GCF of Fractions is 1/500554.Finally, GCF of Fractions for 4773/709, 8963/706 is 1/500554.