Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/43,89/61,40/31,948/12
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 94,89,40,948
Greatest Common Factor of Numerators i.e. GCF of 94,89,40,948 is 1 .
LCM of Denominators means LCM of 43,61,31,12 as per the given fractions.
LCM of 43,61,31,12 is 975756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,89,40,948
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 94,89,40,948 . The biggest common factor number is the GCF number.
So the greatest common factor 94,89,40,948 is 1.
Lets's calculate LCM of 43,61,31,12
Given numbers has no common factors except 1. So, there LCM is their product i.e 975756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975756
Therefore, the GCF of Fractions 94/43,89/61,40/31,948/12 is 1/975756
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 43,61,31,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,61,31,12) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,61,31,12) x common factors =1 x 1 = 1
LCM(43,61,31,12) = ( 43 × 61 × 31 × 12 ) / 1
LCM(43,61,31,12) = 975756 / 1
LCM(43,61,31,12) = 975756
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 94/43, 89/61, 40/31, 948/12?
Answer: GCF of Numerators as per given numbers 94/43, 89/61, 40/31, 948/12 is
GCF of Numerators i.e. for 94,89,40,948 is 1
LCM of denominators i.e. for 43,61,31,12 is 975756.
Thus, GCF of Fractions is 1/975756.Finally, GCF of Fractions for 94/43, 89/61, 40/31, 948/12 is 1/975756.