Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/53,942/53,139/95
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 89,942,139
Greatest Common Factor of Numerators i.e. GCF of 89,942,139 is 1 .
LCM of Denominators means LCM of 53,53,95 as per the given fractions.
LCM of 53,53,95 is 5035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,942,139
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Greatest Common Factor
We found the factors 89,942,139 . The biggest common factor number is the GCF number.
So the greatest common factor 89,942,139 is 1.
Lets's calculate LCM of 53,53,95
53 | 53, 53, 95 |
1, 1, 95 |
∴ So the LCM of the given numbers is 53 x 1 x 1 x 95 = 5035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5035
Therefore, the GCF of Fractions 89/53,942/53,139/95 is 1/5035
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 53,53,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,53,95) = 1
common factors(in case of two or more numbers have common factors) = 53
GCF(53,53,95) x common factors =1 x 53 = 53
LCM(53,53,95) = ( 53 × 53 × 95 ) / 53
LCM(53,53,95) = 266855 / 53
LCM(53,53,95) = 5035
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 89/53, 942/53, 139/95?
Answer: GCF of Numerators as per given numbers 89/53, 942/53, 139/95 is
GCF of Numerators i.e. for 89,942,139 is 1
LCM of denominators i.e. for 53,53,95 is 5035.
Thus, GCF of Fractions is 1/5035.Finally, GCF of Fractions for 89/53, 942/53, 139/95 is 1/5035.