Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 78/15,45/725,390/942
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 78,45,390
Greatest Common Factor of Numerators i.e. GCF of 78,45,390 is 3 .
LCM of Denominators means LCM of 15,725,942 as per the given fractions.
LCM of 15,725,942 is 682950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 78,45,390
3 | 78, 45, 390 |
26, 15, 130 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 78,45,390 . The biggest common factor number is the GCF number.
So the greatest common factor 78,45,390 is 3.
Lets's calculate LCM of 15,725,942
3 | 15, 725, 942 |
5 | 5, 725, 314 |
1, 145, 314 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 145 x 314 = 682950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/682950
Therefore, the GCF of Fractions 78/15,45/725,390/942 is 3/682950
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 15,725,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,725,942) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(15,725,942) x common factors =1 x 15 = 15
LCM(15,725,942) = ( 15 × 725 × 942 ) / 15
LCM(15,725,942) = 10244250 / 15
LCM(15,725,942) = 682950
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 78/15, 45/725, 390/942?
Answer: GCF of Numerators as per given numbers 78/15, 45/725, 390/942 is
GCF of Numerators i.e. for 78,45,390 is 3
LCM of denominators i.e. for 15,725,942 is 682950.
Thus, GCF of Fractions is 3/682950.Finally, GCF of Fractions for 78/15, 45/725, 390/942 is 3/682950.