Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 976/56,309/93,270/77
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 976,309,270
Greatest Common Factor of Numerators i.e. GCF of 976,309,270 is 1 .
LCM of Denominators means LCM of 56,93,77 as per the given fractions.
LCM of 56,93,77 is 57288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 976,309,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 976,309,270 . The biggest common factor number is the GCF number.
So the greatest common factor 976,309,270 is 1.
Lets's calculate LCM of 56,93,77
7 | 56, 93, 77 |
8, 93, 11 |
∴ So the LCM of the given numbers is 7 x 8 x 93 x 11 = 57288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57288
Therefore, the GCF of Fractions 976/56,309/93,270/77 is 1/57288
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 56,93,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,93,77) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(56,93,77) x common factors =1 x 7 = 7
LCM(56,93,77) = ( 56 × 93 × 77 ) / 7
LCM(56,93,77) = 401016 / 7
LCM(56,93,77) = 57288
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 976/56, 309/93, 270/77?
Answer: GCF of Numerators as per given numbers 976/56, 309/93, 270/77 is
GCF of Numerators i.e. for 976,309,270 is 1
LCM of denominators i.e. for 56,93,77 is 57288.
Thus, GCF of Fractions is 1/57288.Finally, GCF of Fractions for 976/56, 309/93, 270/77 is 1/57288.