Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/973,433/931
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 26,433
Greatest Common Factor of Numerators i.e. GCF of 26,433 is 1 .
LCM of Denominators means LCM of 973,931 as per the given fractions.
LCM of 973,931 is 129409 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 26,433 . The biggest common factor number is the GCF number.
So the greatest common factor 26,433 is 1.
Lets's calculate LCM of 973,931
7 | 973, 931 |
139, 133 |
∴ So the LCM of the given numbers is 7 x 139 x 133 = 129409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129409
Therefore, the GCF of Fractions 26/973,433/931 is 1/129409
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 973,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,931) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(973,931) x common factors =7 x 1 = 7
LCM(973,931) = ( 973 × 931 ) / 7
LCM(973,931) = 905863 / 7
LCM(973,931) = 129409
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 26/973, 433/931?
Answer: GCF of Numerators as per given numbers 26/973, 433/931 is
GCF of Numerators i.e. for 26,433 is 1
LCM of denominators i.e. for 973,931 is 129409.
Thus, GCF of Fractions is 1/129409.Finally, GCF of Fractions for 26/973, 433/931 is 1/129409.