GCF of 5507/512, 4609/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5507/512, 4609/107 i.e 1/54784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5507/512, 4609/107.
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 5507/512,4609/107?
Given fractions are 5507/512,4609/107
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 5507/512,4609/107, numerators are 5507,4609
Denominators are 512,107
The GCF of 5507,4609 is 1 .
LCM of 512,107 is 54784.
The greatest common factor of 5507/512,4609/107 = [GCF of 5507,4609]/[LCM of 512,107]= 1/54784
Therefore, the GCF of 5507/512,4609/107 is 1/54784.
To find the highest common factor of 5507,4609, we have to find the factors of both numbers and list the highest common factor.
The factors of 5507 are 1, 5507
The factors of 4609 are 1, 11, 419, 4609
The HCF of 5507,4609 is 1.
Lets's calculate GCF of 5507,4609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5507,4609 By Matching Biggest Common Factor Method
Now, list down the factors of 5507
:1,5507
Now, list down the factors of 4609
:1,11,419,4609
Greatest Common Factor
We found the factors 5507,4609 . The biggest common factor number is the GCF number.
So the greatest common factor 5507,4609 is 1.
Lets's calculate LCM of 512,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 54784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54784
Therefore, the GCF of Fractions 5507/512,4609/107 is 1/54784
Least Common Multiple of 512,107 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 512,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,107) x common factors =1 x 1 = 1
LCM(512,107) = ( 512 × 107 ) / 1
LCM(512,107) = 54784 / 1
LCM(512,107) = 54784
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5507/512, 4609/107
1. What is the HCF of 5507,4609?
The HCF of 5507,4609 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 5507/512, 4609/107?
Answer: GCF of Numerators as per given numbers 5507/512, 4609/107 is
GCF of Numerators i.e. for 5507,4609 is 1
LCM of denominators i.e. for 512,107 is 54784.
Thus, GCF of Fractions is 1/54784.Finally, GCF of Fractions for 5507/512, 4609/107 is 1/54784.