Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 754/70,663/115
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 754,663
Greatest Common Factor of Numerators i.e. GCF of 754,663 is 13 .
LCM of Denominators means LCM of 70,115 as per the given fractions.
LCM of 70,115 is 1610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 754,663
13 | 754, 663 |
58, 51 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 754,663 . The biggest common factor number is the GCF number.
So the greatest common factor 754,663 is 13.
Lets's calculate LCM of 70,115
5 | 70, 115 |
14, 23 |
∴ So the LCM of the given numbers is 5 x 14 x 23 = 1610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1610
Therefore, the GCF of Fractions 754/70,663/115 is 13/1610
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 70,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,115) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,115) x common factors =5 x 1 = 5
LCM(70,115) = ( 70 × 115 ) / 5
LCM(70,115) = 8050 / 5
LCM(70,115) = 1610
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 754/70, 663/115?
Answer: GCF of Numerators as per given numbers 754/70, 663/115 is
GCF of Numerators i.e. for 754,663 is 13
LCM of denominators i.e. for 70,115 is 1610.
Thus, GCF of Fractions is 13/1610.Finally, GCF of Fractions for 754/70, 663/115 is 13/1610.