GCF of 706/99, 809/353
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 706/99, 809/353 i.e 1/34947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/99, 809/353.
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 706/99,809/353?
Given fractions are 706/99,809/353
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 706/99,809/353, numerators are 706,809
Denominators are 99,353
The GCF of 706,809 is 1 .
LCM of 99,353 is 34947.
The greatest common factor of 706/99,809/353 = [GCF of 706,809]/[LCM of 99,353]= 1/34947
Therefore, the GCF of 706/99,809/353 is 1/34947.
To find the highest common factor of 706,809, we have to find the factors of both numbers and list the highest common factor.
The factors of 706 are 1, 2, 353, 706
The factors of 809 are 1, 809
The HCF of 706,809 is 1.
Lets's calculate GCF of 706,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 706,809 By Matching Biggest Common Factor Method
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 809
:1,809
Greatest Common Factor
We found the factors 706,809 . The biggest common factor number is the GCF number.
So the greatest common factor 706,809 is 1.
Lets's calculate LCM of 99,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 34947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34947
Therefore, the GCF of Fractions 706/99,809/353 is 1/34947
Least Common Multiple of 99,353 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 99,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,353) x common factors =1 x 1 = 1
LCM(99,353) = ( 99 × 353 ) / 1
LCM(99,353) = 34947 / 1
LCM(99,353) = 34947
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 706/99, 809/353
1. What is the HCF of 706,809?
The HCF of 706,809 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 706/99, 809/353?
Answer: GCF of Numerators as per given numbers 706/99, 809/353 is
GCF of Numerators i.e. for 706,809 is 1
LCM of denominators i.e. for 99,353 is 34947.
Thus, GCF of Fractions is 1/34947.Finally, GCF of Fractions for 706/99, 809/353 is 1/34947.