Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/11,10/14,34/89,42/666
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 37,10,34,42
Greatest Common Factor of Numerators i.e. GCF of 37,10,34,42 is 1 .
LCM of Denominators means LCM of 11,14,89,666 as per the given fractions.
LCM of 11,14,89,666 is 4564098 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,10,34,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 37,10,34,42 . The biggest common factor number is the GCF number.
So the greatest common factor 37,10,34,42 is 1.
Lets's calculate LCM of 11,14,89,666
2 | 11, 14, 89, 666 |
11, 7, 89, 333 |
∴ So the LCM of the given numbers is 2 x 11 x 7 x 89 x 333 = 4564098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4564098
Therefore, the GCF of Fractions 37/11,10/14,34/89,42/666 is 1/4564098
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 11,14,89,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,14,89,666) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,14,89,666) x common factors =1 x 2 = 2
LCM(11,14,89,666) = ( 11 × 14 × 89 × 666 ) / 2
LCM(11,14,89,666) = 9128196 / 2
LCM(11,14,89,666) = 4564098
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 37/11, 10/14, 34/89, 42/666?
Answer: GCF of Numerators as per given numbers 37/11, 10/14, 34/89, 42/666 is
GCF of Numerators i.e. for 37,10,34,42 is 1
LCM of denominators i.e. for 11,14,89,666 is 4564098.
Thus, GCF of Fractions is 1/4564098.Finally, GCF of Fractions for 37/11, 10/14, 34/89, 42/666 is 1/4564098.