Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/31,10/52,18/97,57/687
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 11,10,18,57
Greatest Common Factor of Numerators i.e. GCF of 11,10,18,57 is 1 .
LCM of Denominators means LCM of 31,52,97,687 as per the given fractions.
LCM of 31,52,97,687 is 107422068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,10,18,57
∴ 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 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Greatest Common Factor
We found the factors 11,10,18,57 . The biggest common factor number is the GCF number.
So the greatest common factor 11,10,18,57 is 1.
Lets's calculate LCM of 31,52,97,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 107422068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107422068
Therefore, the GCF of Fractions 11/31,10/52,18/97,57/687 is 1/107422068
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 31,52,97,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,52,97,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,52,97,687) x common factors =1 x 1 = 1
LCM(31,52,97,687) = ( 31 × 52 × 97 × 687 ) / 1
LCM(31,52,97,687) = 107422068 / 1
LCM(31,52,97,687) = 107422068
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 11/31, 10/52, 18/97, 57/687?
Answer: GCF of Numerators as per given numbers 11/31, 10/52, 18/97, 57/687 is
GCF of Numerators i.e. for 11,10,18,57 is 1
LCM of denominators i.e. for 31,52,97,687 is 107422068.
Thus, GCF of Fractions is 1/107422068.Finally, GCF of Fractions for 11/31, 10/52, 18/97, 57/687 is 1/107422068.