Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2948/194,6003/670
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 2948,6003
Greatest Common Factor of Numerators i.e. GCF of 2948,6003 is 1 .
LCM of Denominators means LCM of 194,670 as per the given fractions.
LCM of 194,670 is 64990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2948,6003
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2948
List of positive integer factors of 2948 that divides 2948 without a remainder.
1,2,4,11,22,44,67,134,268,737,1474,2948
Factors of 6003
List of positive integer factors of 6003 that divides 6003 without a remainder.
1,3,9,23,29,69,87,207,261,667,2001,6003
Greatest Common Factor
We found the factors 2948,6003 . The biggest common factor number is the GCF number.
So the greatest common factor 2948,6003 is 1.
Lets's calculate LCM of 194,670
2 | 194, 670 |
97, 335 |
∴ So the LCM of the given numbers is 2 x 97 x 335 = 64990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64990
Therefore, the GCF of Fractions 2948/194,6003/670 is 1/64990
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 194,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,670) x common factors =2 x 1 = 2
LCM(194,670) = ( 194 × 670 ) / 2
LCM(194,670) = 129980 / 2
LCM(194,670) = 64990
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 2948/194, 6003/670?
Answer: GCF of Numerators as per given numbers 2948/194, 6003/670 is
GCF of Numerators i.e. for 2948,6003 is 1
LCM of denominators i.e. for 194,670 is 64990.
Thus, GCF of Fractions is 1/64990.Finally, GCF of Fractions for 2948/194, 6003/670 is 1/64990.