Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 730/53,464/78,254/39
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 730,464,254
Greatest Common Factor of Numerators i.e. GCF of 730,464,254 is 2 .
LCM of Denominators means LCM of 53,78,39 as per the given fractions.
LCM of 53,78,39 is 4134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 730,464,254
2 | 730, 464, 254 |
365, 232, 127 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 730,464,254 . The biggest common factor number is the GCF number.
So the greatest common factor 730,464,254 is 2.
Lets's calculate LCM of 53,78,39
3 | 53, 78, 39 |
13 | 53, 26, 13 |
53, 2, 1 |
∴ So the LCM of the given numbers is 3 x 13 x 53 x 2 x 1 = 4134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4134
Therefore, the GCF of Fractions 730/53,464/78,254/39 is 2/4134
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 53,78,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,78,39) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(53,78,39) x common factors =1 x 39 = 39
LCM(53,78,39) = ( 53 × 78 × 39 ) / 39
LCM(53,78,39) = 161226 / 39
LCM(53,78,39) = 4134
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 730/53, 464/78, 254/39?
Answer: GCF of Numerators as per given numbers 730/53, 464/78, 254/39 is
GCF of Numerators i.e. for 730,464,254 is 2
LCM of denominators i.e. for 53,78,39 is 4134.
Thus, GCF of Fractions is 2/4134.Finally, GCF of Fractions for 730/53, 464/78, 254/39 is 2/4134.