Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/20,346/65,975/221
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 944,346,975
Greatest Common Factor of Numerators i.e. GCF of 944,346,975 is 1 .
LCM of Denominators means LCM of 20,65,221 as per the given fractions.
LCM of 20,65,221 is 4420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 944,346,975
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 944,346,975 . The biggest common factor number is the GCF number.
So the greatest common factor 944,346,975 is 1.
Lets's calculate LCM of 20,65,221
5 | 20, 65, 221 |
13 | 4, 13, 221 |
4, 1, 17 |
∴ So the LCM of the given numbers is 5 x 13 x 4 x 1 x 17 = 4420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4420
Therefore, the GCF of Fractions 944/20,346/65,975/221 is 1/4420
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 20,65,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,65,221) = 1
common factors(in case of two or more numbers have common factors) = 65
GCF(20,65,221) x common factors =1 x 65 = 65
LCM(20,65,221) = ( 20 × 65 × 221 ) / 65
LCM(20,65,221) = 287300 / 65
LCM(20,65,221) = 4420
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 944/20, 346/65, 975/221?
Answer: GCF of Numerators as per given numbers 944/20, 346/65, 975/221 is
GCF of Numerators i.e. for 944,346,975 is 1
LCM of denominators i.e. for 20,65,221 is 4420.
Thus, GCF of Fractions is 1/4420.Finally, GCF of Fractions for 944/20, 346/65, 975/221 is 1/4420.