Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/54,49/725,14/980
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 4,49,14
Greatest Common Factor of Numerators i.e. GCF of 4,49,14 is 1 .
LCM of Denominators means LCM of 54,725,980 as per the given fractions.
LCM of 54,725,980 is 3836700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,49,14
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Greatest Common Factor
We found the factors 4,49,14 . The biggest common factor number is the GCF number.
So the greatest common factor 4,49,14 is 1.
Lets's calculate LCM of 54,725,980
2 | 54, 725, 980 |
5 | 27, 725, 490 |
27, 145, 98 |
∴ So the LCM of the given numbers is 2 x 5 x 27 x 145 x 98 = 3836700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3836700
Therefore, the GCF of Fractions 4/54,49/725,14/980 is 1/3836700
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 54,725,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,725,980) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(54,725,980) x common factors =1 x 10 = 10
LCM(54,725,980) = ( 54 × 725 × 980 ) / 10
LCM(54,725,980) = 38367000 / 10
LCM(54,725,980) = 3836700
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 4/54, 49/725, 14/980?
Answer: GCF of Numerators as per given numbers 4/54, 49/725, 14/980 is
GCF of Numerators i.e. for 4,49,14 is 1
LCM of denominators i.e. for 54,725,980 is 3836700.
Thus, GCF of Fractions is 1/3836700.Finally, GCF of Fractions for 4/54, 49/725, 14/980 is 1/3836700.