Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2951/424,1529/1038
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 2951,1529
Greatest Common Factor of Numerators i.e. GCF of 2951,1529 is 1 .
LCM of Denominators means LCM of 424,1038 as per the given fractions.
LCM of 424,1038 is 220056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2951,1529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2951
List of positive integer factors of 2951 that divides 2951 without a remainder.
1,13,227,2951
Factors of 1529
List of positive integer factors of 1529 that divides 1529 without a remainder.
1,11,139,1529
Greatest Common Factor
We found the factors 2951,1529 . The biggest common factor number is the GCF number.
So the greatest common factor 2951,1529 is 1.
Lets's calculate LCM of 424,1038
2 | 424, 1038 |
212, 519 |
∴ So the LCM of the given numbers is 2 x 212 x 519 = 220056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220056
Therefore, the GCF of Fractions 2951/424,1529/1038 is 1/220056
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 424,1038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,1038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,1038) x common factors =2 x 1 = 2
LCM(424,1038) = ( 424 × 1038 ) / 2
LCM(424,1038) = 440112 / 2
LCM(424,1038) = 220056
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 2951/424, 1529/1038?
Answer: GCF of Numerators as per given numbers 2951/424, 1529/1038 is
GCF of Numerators i.e. for 2951,1529 is 1
LCM of denominators i.e. for 424,1038 is 220056.
Thus, GCF of Fractions is 1/220056.Finally, GCF of Fractions for 2951/424, 1529/1038 is 1/220056.