GCF of 511/811, 7324/9107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 511/811, 7324/9107 i.e 1/7385777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 511/811, 7324/9107.
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 511/811,7324/9107?
Given fractions are 511/811,7324/9107
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 511/811,7324/9107, numerators are 511,7324
Denominators are 811,9107
The GCF of 511,7324 is 1 .
LCM of 811,9107 is 7385777.
The greatest common factor of 511/811,7324/9107 = [GCF of 511,7324]/[LCM of 811,9107]= 1/7385777
Therefore, the GCF of 511/811,7324/9107 is 1/7385777.
To find the highest common factor of 511,7324, we have to find the factors of both numbers and list the highest common factor.
The factors of 511 are 1, 7, 73, 511
The factors of 7324 are 1, 2, 4, 1831, 3662, 7324
The HCF of 511,7324 is 1.
Lets's calculate GCF of 511,7324
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 511,7324 By Matching Biggest Common Factor Method
Now, list down the factors of 511
:1,7,73,511
Now, list down the factors of 7324
:1,2,4,1831,3662,7324
Greatest Common Factor
We found the factors 511,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 511,7324 is 1.
Lets's calculate LCM of 811,9107
Given numbers has no common factors except 1. So, there LCM is their product i.e 7385777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7385777
Therefore, the GCF of Fractions 511/811,7324/9107 is 1/7385777
Least Common Multiple of 811,9107 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 811,9107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,9107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,9107) x common factors =1 x 1 = 1
LCM(811,9107) = ( 811 × 9107 ) / 1
LCM(811,9107) = 7385777 / 1
LCM(811,9107) = 7385777
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 511/811, 7324/9107
1. What is the HCF of 511,7324?
The HCF of 511,7324 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 511/811, 7324/9107?
Answer: GCF of Numerators as per given numbers 511/811, 7324/9107 is
GCF of Numerators i.e. for 511,7324 is 1
LCM of denominators i.e. for 811,9107 is 7385777.
Thus, GCF of Fractions is 1/7385777.Finally, GCF of Fractions for 511/811, 7324/9107 is 1/7385777.