Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2853/829,1489/689
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 2853,1489
Greatest Common Factor of Numerators i.e. GCF of 2853,1489 is 1 .
LCM of Denominators means LCM of 829,689 as per the given fractions.
LCM of 829,689 is 571181 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2853,1489
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2853
List of positive integer factors of 2853 that divides 2853 without a remainder.
1,3,9,317,951,2853
Factors of 1489
List of positive integer factors of 1489 that divides 1489 without a remainder.
1,1489
Greatest Common Factor
We found the factors 2853,1489 . The biggest common factor number is the GCF number.
So the greatest common factor 2853,1489 is 1.
Lets's calculate LCM of 829,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 571181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/571181
Therefore, the GCF of Fractions 2853/829,1489/689 is 1/571181
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 829,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,689) x common factors =1 x 1 = 1
LCM(829,689) = ( 829 × 689 ) / 1
LCM(829,689) = 571181 / 1
LCM(829,689) = 571181
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 2853/829, 1489/689?
Answer: GCF of Numerators as per given numbers 2853/829, 1489/689 is
GCF of Numerators i.e. for 2853,1489 is 1
LCM of denominators i.e. for 829,689 is 571181.
Thus, GCF of Fractions is 1/571181.Finally, GCF of Fractions for 2853/829, 1489/689 is 1/571181.