Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4252/812,8589/862
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 4252,8589
Greatest Common Factor of Numerators i.e. GCF of 4252,8589 is 1 .
LCM of Denominators means LCM of 812,862 as per the given fractions.
LCM of 812,862 is 349972 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4252,8589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4252
List of positive integer factors of 4252 that divides 4252 without a remainder.
1,2,4,1063,2126,4252
Factors of 8589
List of positive integer factors of 8589 that divides 8589 without a remainder.
1,3,7,21,409,1227,2863,8589
Greatest Common Factor
We found the factors 4252,8589 . The biggest common factor number is the GCF number.
So the greatest common factor 4252,8589 is 1.
Lets's calculate LCM of 812,862
2 | 812, 862 |
406, 431 |
∴ So the LCM of the given numbers is 2 x 406 x 431 = 349972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349972
Therefore, the GCF of Fractions 4252/812,8589/862 is 1/349972
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 812,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(812,862) x common factors =2 x 1 = 2
LCM(812,862) = ( 812 × 862 ) / 2
LCM(812,862) = 699944 / 2
LCM(812,862) = 349972
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 4252/812, 8589/862?
Answer: GCF of Numerators as per given numbers 4252/812, 8589/862 is
GCF of Numerators i.e. for 4252,8589 is 1
LCM of denominators i.e. for 812,862 is 349972.
Thus, GCF of Fractions is 1/349972.Finally, GCF of Fractions for 4252/812, 8589/862 is 1/349972.