Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/17,91/70,45/29,798/37
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 27,91,45,798
Greatest Common Factor of Numerators i.e. GCF of 27,91,45,798 is 1 .
LCM of Denominators means LCM of 17,70,29,37 as per the given fractions.
LCM of 17,70,29,37 is 1276870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,91,45,798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 27,91,45,798 . The biggest common factor number is the GCF number.
So the greatest common factor 27,91,45,798 is 1.
Lets's calculate LCM of 17,70,29,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 1276870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1276870
Therefore, the GCF of Fractions 27/17,91/70,45/29,798/37 is 1/1276870
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 17,70,29,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,70,29,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,70,29,37) x common factors =1 x 1 = 1
LCM(17,70,29,37) = ( 17 × 70 × 29 × 37 ) / 1
LCM(17,70,29,37) = 1276870 / 1
LCM(17,70,29,37) = 1276870
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 27/17, 91/70, 45/29, 798/37?
Answer: GCF of Numerators as per given numbers 27/17, 91/70, 45/29, 798/37 is
GCF of Numerators i.e. for 27,91,45,798 is 1
LCM of denominators i.e. for 17,70,29,37 is 1276870.
Thus, GCF of Fractions is 1/1276870.Finally, GCF of Fractions for 27/17, 91/70, 45/29, 798/37 is 1/1276870.