Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/24,32/55,658/931
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 85,32,658
Greatest Common Factor of Numerators i.e. GCF of 85,32,658 is 1 .
LCM of Denominators means LCM of 24,55,931 as per the given fractions.
LCM of 24,55,931 is 1228920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,32,658
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 85,32,658 . The biggest common factor number is the GCF number.
So the greatest common factor 85,32,658 is 1.
Lets's calculate LCM of 24,55,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 1228920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1228920
Therefore, the GCF of Fractions 85/24,32/55,658/931 is 1/1228920
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 24,55,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,55,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,55,931) x common factors =1 x 1 = 1
LCM(24,55,931) = ( 24 × 55 × 931 ) / 1
LCM(24,55,931) = 1228920 / 1
LCM(24,55,931) = 1228920
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 85/24, 32/55, 658/931?
Answer: GCF of Numerators as per given numbers 85/24, 32/55, 658/931 is
GCF of Numerators i.e. for 85,32,658 is 1
LCM of denominators i.e. for 24,55,931 is 1228920.
Thus, GCF of Fractions is 1/1228920.Finally, GCF of Fractions for 85/24, 32/55, 658/931 is 1/1228920.