GCF of 5519/868, 1152/5207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5519/868, 1152/5207 i.e 1/4519676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5519/868, 1152/5207.
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 5519/868,1152/5207?
Given fractions are 5519/868,1152/5207
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 5519/868,1152/5207, numerators are 5519,1152
Denominators are 868,5207
The GCF of 5519,1152 is 1 .
LCM of 868,5207 is 4519676.
The greatest common factor of 5519/868,1152/5207 = [GCF of 5519,1152]/[LCM of 868,5207]= 1/4519676
Therefore, the GCF of 5519/868,1152/5207 is 1/4519676.
To find the highest common factor of 5519,1152, we have to find the factors of both numbers and list the highest common factor.
The factors of 5519 are 1, 5519
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The HCF of 5519,1152 is 1.
Lets's calculate GCF of 5519,1152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5519,1152 By Matching Biggest Common Factor Method
Now, list down the factors of 5519
:1,5519
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 5519,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 5519,1152 is 1.
Lets's calculate LCM of 868,5207
Given numbers has no common factors except 1. So, there LCM is their product i.e 4519676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4519676
Therefore, the GCF of Fractions 5519/868,1152/5207 is 1/4519676
Least Common Multiple of 868,5207 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 868,5207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,5207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,5207) x common factors =1 x 1 = 1
LCM(868,5207) = ( 868 × 5207 ) / 1
LCM(868,5207) = 4519676 / 1
LCM(868,5207) = 4519676
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5519/868, 1152/5207
1. What is the HCF of 5519,1152?
The HCF of 5519,1152 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 5519/868, 1152/5207?
Answer: GCF of Numerators as per given numbers 5519/868, 1152/5207 is
GCF of Numerators i.e. for 5519,1152 is 1
LCM of denominators i.e. for 868,5207 is 4519676.
Thus, GCF of Fractions is 1/4519676.Finally, GCF of Fractions for 5519/868, 1152/5207 is 1/4519676.