Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6730/65,1100/729
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 6730,1100
Greatest Common Factor of Numerators i.e. GCF of 6730,1100 is 10 .
LCM of Denominators means LCM of 65,729 as per the given fractions.
LCM of 65,729 is 47385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6730,1100
2 | 6730, 1100 |
5 | 3365, 550 |
673, 110 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 6730
List of positive integer factors of 6730 that divides 6730 without a remainder.
1,2,5,10,673,1346,3365,6730
Factors of 1100
List of positive integer factors of 1100 that divides 1100 without a remainder.
1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Greatest Common Factor
We found the factors 6730,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 6730,1100 is 10.
Lets's calculate LCM of 65,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 47385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47385
Therefore, the GCF of Fractions 6730/65,1100/729 is 10/47385
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 65,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,729) x common factors =1 x 1 = 1
LCM(65,729) = ( 65 × 729 ) / 1
LCM(65,729) = 47385 / 1
LCM(65,729) = 47385
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 6730/65, 1100/729?
Answer: GCF of Numerators as per given numbers 6730/65, 1100/729 is
GCF of Numerators i.e. for 6730,1100 is 10
LCM of denominators i.e. for 65,729 is 47385.
Thus, GCF of Fractions is 10/47385.Finally, GCF of Fractions for 6730/65, 1100/729 is 10/47385.