Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/15,57/53,90/38,78/31
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 11,57,90,78
Greatest Common Factor of Numerators i.e. GCF of 11,57,90,78 is 1 .
LCM of Denominators means LCM of 15,53,38,31 as per the given fractions.
LCM of 15,53,38,31 is 936510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,57,90,78
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Greatest Common Factor
We found the factors 11,57,90,78 . The biggest common factor number is the GCF number.
So the greatest common factor 11,57,90,78 is 1.
Lets's calculate LCM of 15,53,38,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 936510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/936510
Therefore, the GCF of Fractions 11/15,57/53,90/38,78/31 is 1/936510
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 15,53,38,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,53,38,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,53,38,31) x common factors =1 x 1 = 1
LCM(15,53,38,31) = ( 15 × 53 × 38 × 31 ) / 1
LCM(15,53,38,31) = 936510 / 1
LCM(15,53,38,31) = 936510
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 11/15, 57/53, 90/38, 78/31?
Answer: GCF of Numerators as per given numbers 11/15, 57/53, 90/38, 78/31 is
GCF of Numerators i.e. for 11,57,90,78 is 1
LCM of denominators i.e. for 15,53,38,31 is 936510.
Thus, GCF of Fractions is 1/936510.Finally, GCF of Fractions for 11/15, 57/53, 90/38, 78/31 is 1/936510.