Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 731/69,664/72,279/78
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 731,664,279
Greatest Common Factor of Numerators i.e. GCF of 731,664,279 is 1 .
LCM of Denominators means LCM of 69,72,78 as per the given fractions.
LCM of 69,72,78 is 21528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 731,664,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Greatest Common Factor
We found the factors 731,664,279 . The biggest common factor number is the GCF number.
So the greatest common factor 731,664,279 is 1.
Lets's calculate LCM of 69,72,78
2 | 69, 72, 78 |
3 | 69, 36, 39 |
23, 12, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 12 x 13 = 21528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21528
Therefore, the GCF of Fractions 731/69,664/72,279/78 is 1/21528
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 69,72,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,72,78) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(69,72,78) x common factors =3 x 6 = 18
LCM(69,72,78) = ( 69 × 72 × 78 ) / 18
LCM(69,72,78) = 387504 / 18
LCM(69,72,78) = 21528
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 731/69, 664/72, 279/78?
Answer: GCF of Numerators as per given numbers 731/69, 664/72, 279/78 is
GCF of Numerators i.e. for 731,664,279 is 1
LCM of denominators i.e. for 69,72,78 is 21528.
Thus, GCF of Fractions is 1/21528.Finally, GCF of Fractions for 731/69, 664/72, 279/78 is 1/21528.