Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/15,43/59,770/132
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 43,43,770
Greatest Common Factor of Numerators i.e. GCF of 43,43,770 is 1 .
LCM of Denominators means LCM of 15,59,132 as per the given fractions.
LCM of 15,59,132 is 38940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,43,770
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 43,43,770 . The biggest common factor number is the GCF number.
So the greatest common factor 43,43,770 is 1.
Lets's calculate LCM of 15,59,132
3 | 15, 59, 132 |
5, 59, 44 |
∴ So the LCM of the given numbers is 3 x 5 x 59 x 44 = 38940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38940
Therefore, the GCF of Fractions 43/15,43/59,770/132 is 1/38940
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 15,59,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,59,132) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,59,132) x common factors =1 x 3 = 3
LCM(15,59,132) = ( 15 × 59 × 132 ) / 3
LCM(15,59,132) = 116820 / 3
LCM(15,59,132) = 38940
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 43/15, 43/59, 770/132?
Answer: GCF of Numerators as per given numbers 43/15, 43/59, 770/132 is
GCF of Numerators i.e. for 43,43,770 is 1
LCM of denominators i.e. for 15,59,132 is 38940.
Thus, GCF of Fractions is 1/38940.Finally, GCF of Fractions for 43/15, 43/59, 770/132 is 1/38940.