Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/61,289/56,660/919
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 925,289,660
Greatest Common Factor of Numerators i.e. GCF of 925,289,660 is 1 .
LCM of Denominators means LCM of 61,56,919 as per the given fractions.
LCM of 61,56,919 is 3139304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,289,660
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 925,289,660 . The biggest common factor number is the GCF number.
So the greatest common factor 925,289,660 is 1.
Lets's calculate LCM of 61,56,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 3139304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3139304
Therefore, the GCF of Fractions 925/61,289/56,660/919 is 1/3139304
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 61,56,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,56,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,56,919) x common factors =1 x 1 = 1
LCM(61,56,919) = ( 61 × 56 × 919 ) / 1
LCM(61,56,919) = 3139304 / 1
LCM(61,56,919) = 3139304
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 925/61, 289/56, 660/919?
Answer: GCF of Numerators as per given numbers 925/61, 289/56, 660/919 is
GCF of Numerators i.e. for 925,289,660 is 1
LCM of denominators i.e. for 61,56,919 is 3139304.
Thus, GCF of Fractions is 1/3139304.Finally, GCF of Fractions for 925/61, 289/56, 660/919 is 1/3139304.