Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/96,931/433
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 520,931
Greatest Common Factor of Numerators i.e. GCF of 520,931 is 1 .
LCM of Denominators means LCM of 96,433 as per the given fractions.
LCM of 96,433 is 41568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 520,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors 520,931 . The biggest common factor number is the GCF number.
So the greatest common factor 520,931 is 1.
Lets's calculate LCM of 96,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 41568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41568
Therefore, the GCF of Fractions 520/96,931/433 is 1/41568
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 96,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,433) x common factors =1 x 1 = 1
LCM(96,433) = ( 96 × 433 ) / 1
LCM(96,433) = 41568 / 1
LCM(96,433) = 41568
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 520/96, 931/433?
Answer: GCF of Numerators as per given numbers 520/96, 931/433 is
GCF of Numerators i.e. for 520,931 is 1
LCM of denominators i.e. for 96,433 is 41568.
Thus, GCF of Fractions is 1/41568.Finally, GCF of Fractions for 520/96, 931/433 is 1/41568.