GCF of 7369/511, 9773/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7369/511, 9773/765 i.e 1/390915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7369/511, 9773/765.
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 7369/511,9773/765?
Given fractions are 7369/511,9773/765
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 7369/511,9773/765, numerators are 7369,9773
Denominators are 511,765
The GCF of 7369,9773 is 1 .
LCM of 511,765 is 390915.
The greatest common factor of 7369/511,9773/765 = [GCF of 7369,9773]/[LCM of 511,765]= 1/390915
Therefore, the GCF of 7369/511,9773/765 is 1/390915.
To find the highest common factor of 7369,9773, we have to find the factors of both numbers and list the highest common factor.
The factors of 7369 are 1, 7369
The factors of 9773 are 1, 29, 337, 9773
The HCF of 7369,9773 is 1.
Lets's calculate GCF of 7369,9773
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7369,9773 By Matching Biggest Common Factor Method
Now, list down the factors of 7369
:1,7369
Now, list down the factors of 9773
:1,29,337,9773
Greatest Common Factor
We found the factors 7369,9773 . The biggest common factor number is the GCF number.
So the greatest common factor 7369,9773 is 1.
Lets's calculate LCM of 511,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 390915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390915
Therefore, the GCF of Fractions 7369/511,9773/765 is 1/390915
Least Common Multiple of 511,765 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 511,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,765) x common factors =1 x 1 = 1
LCM(511,765) = ( 511 × 765 ) / 1
LCM(511,765) = 390915 / 1
LCM(511,765) = 390915
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7369/511, 9773/765
1. What is the HCF of 7369,9773?
The HCF of 7369,9773 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 7369/511, 9773/765?
Answer: GCF of Numerators as per given numbers 7369/511, 9773/765 is
GCF of Numerators i.e. for 7369,9773 is 1
LCM of denominators i.e. for 511,765 is 390915.
Thus, GCF of Fractions is 1/390915.Finally, GCF of Fractions for 7369/511, 9773/765 is 1/390915.