Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/34,752/20,913/780
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 663,752,913
Greatest Common Factor of Numerators i.e. GCF of 663,752,913 is 1 .
LCM of Denominators means LCM of 34,20,780 as per the given fractions.
LCM of 34,20,780 is 13260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,752,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 663,752,913 . The biggest common factor number is the GCF number.
So the greatest common factor 663,752,913 is 1.
Lets's calculate LCM of 34,20,780
2 | 34, 20, 780 |
2 | 17, 10, 390 |
5 | 17, 5, 195 |
17, 1, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 1 x 39 = 13260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13260
Therefore, the GCF of Fractions 663/34,752/20,913/780 is 1/13260
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 34,20,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,20,780) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(34,20,780) x common factors =2 x 20 = 40
LCM(34,20,780) = ( 34 × 20 × 780 ) / 40
LCM(34,20,780) = 530400 / 40
LCM(34,20,780) = 13260
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 663/34, 752/20, 913/780?
Answer: GCF of Numerators as per given numbers 663/34, 752/20, 913/780 is
GCF of Numerators i.e. for 663,752,913 is 1
LCM of denominators i.e. for 34,20,780 is 13260.
Thus, GCF of Fractions is 1/13260.Finally, GCF of Fractions for 663/34, 752/20, 913/780 is 1/13260.