GCF of 516/868, 259/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 516/868, 259/619 i.e 1/537292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/868, 259/619.
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 516/868,259/619?
Given fractions are 516/868,259/619
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 516/868,259/619, numerators are 516,259
Denominators are 868,619
The GCF of 516,259 is 1 .
LCM of 868,619 is 537292.
The greatest common factor of 516/868,259/619 = [GCF of 516,259]/[LCM of 868,619]= 1/537292
Therefore, the GCF of 516/868,259/619 is 1/537292.
To find the highest common factor of 516,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The factors of 259 are 1, 7, 37, 259
The HCF of 516,259 is 1.
Lets's calculate GCF of 516,259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 516,259 By Matching Biggest Common Factor Method
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 516,259 . The biggest common factor number is the GCF number.
So the greatest common factor 516,259 is 1.
Lets's calculate LCM of 868,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 537292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537292
Therefore, the GCF of Fractions 516/868,259/619 is 1/537292
Least Common Multiple of 868,619 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 868,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(868,619) x common factors =1 x 1 = 1
LCM(868,619) = ( 868 × 619 ) / 1
LCM(868,619) = 537292 / 1
LCM(868,619) = 537292
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 516/868, 259/619
1. What is the HCF of 516,259?
The HCF of 516,259 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 516/868, 259/619?
Answer: GCF of Numerators as per given numbers 516/868, 259/619 is
GCF of Numerators i.e. for 516,259 is 1
LCM of denominators i.e. for 868,619 is 537292.
Thus, GCF of Fractions is 1/537292.Finally, GCF of Fractions for 516/868, 259/619 is 1/537292.