GCF of 8416/769, 8539/7419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8416/769, 8539/7419 i.e 1/5705211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8416/769, 8539/7419.
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 8416/769,8539/7419?
Given fractions are 8416/769,8539/7419
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 8416/769,8539/7419, numerators are 8416,8539
Denominators are 769,7419
The GCF of 8416,8539 is 1 .
LCM of 769,7419 is 5705211.
The greatest common factor of 8416/769,8539/7419 = [GCF of 8416,8539]/[LCM of 769,7419]= 1/5705211
Therefore, the GCF of 8416/769,8539/7419 is 1/5705211.
To find the highest common factor of 8416,8539, we have to find the factors of both numbers and list the highest common factor.
The factors of 8416 are 1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416
The factors of 8539 are 1, 8539
The HCF of 8416,8539 is 1.
Lets's calculate GCF of 8416,8539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8416,8539 By Matching Biggest Common Factor Method
Now, list down the factors of 8416
:1,2,4,8,16,32,263,526,1052,2104,4208,8416
Now, list down the factors of 8539
:1,8539
Greatest Common Factor
We found the factors 8416,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 8416,8539 is 1.
Lets's calculate LCM of 769,7419
Given numbers has no common factors except 1. So, there LCM is their product i.e 5705211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5705211
Therefore, the GCF of Fractions 8416/769,8539/7419 is 1/5705211
Least Common Multiple of 769,7419 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 769,7419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,7419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,7419) x common factors =1 x 1 = 1
LCM(769,7419) = ( 769 × 7419 ) / 1
LCM(769,7419) = 5705211 / 1
LCM(769,7419) = 5705211
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8416/769, 8539/7419
1. What is the HCF of 8416,8539?
The HCF of 8416,8539 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 8416/769, 8539/7419?
Answer: GCF of Numerators as per given numbers 8416/769, 8539/7419 is
GCF of Numerators i.e. for 8416,8539 is 1
LCM of denominators i.e. for 769,7419 is 5705211.
Thus, GCF of Fractions is 1/5705211.Finally, GCF of Fractions for 8416/769, 8539/7419 is 1/5705211.