Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/19,527/49,977/91
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 5,527,977
Greatest Common Factor of Numerators i.e. GCF of 5,527,977 is 1 .
LCM of Denominators means LCM of 19,49,91 as per the given fractions.
LCM of 19,49,91 is 12103 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,527,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Greatest Common Factor
We found the factors 5,527,977 . The biggest common factor number is the GCF number.
So the greatest common factor 5,527,977 is 1.
Lets's calculate LCM of 19,49,91
7 | 19, 49, 91 |
19, 7, 13 |
∴ So the LCM of the given numbers is 7 x 19 x 7 x 13 = 12103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12103
Therefore, the GCF of Fractions 5/19,527/49,977/91 is 1/12103
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 19,49,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,49,91) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(19,49,91) x common factors =1 x 7 = 7
LCM(19,49,91) = ( 19 × 49 × 91 ) / 7
LCM(19,49,91) = 84721 / 7
LCM(19,49,91) = 12103
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 5/19, 527/49, 977/91?
Answer: GCF of Numerators as per given numbers 5/19, 527/49, 977/91 is
GCF of Numerators i.e. for 5,527,977 is 1
LCM of denominators i.e. for 19,49,91 is 12103.
Thus, GCF of Fractions is 1/12103.Finally, GCF of Fractions for 5/19, 527/49, 977/91 is 1/12103.