Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4719/474,9050/345
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 4719,9050
Greatest Common Factor of Numerators i.e. GCF of 4719,9050 is 1 .
LCM of Denominators means LCM of 474,345 as per the given fractions.
LCM of 474,345 is 54510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4719,9050
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4719
List of positive integer factors of 4719 that divides 4719 without a remainder.
1,3,11,13,33,39,121,143,363,429,1573,4719
Factors of 9050
List of positive integer factors of 9050 that divides 9050 without a remainder.
1,2,5,10,25,50,181,362,905,1810,4525,9050
Greatest Common Factor
We found the factors 4719,9050 . The biggest common factor number is the GCF number.
So the greatest common factor 4719,9050 is 1.
Lets's calculate LCM of 474,345
3 | 474, 345 |
158, 115 |
∴ So the LCM of the given numbers is 3 x 158 x 115 = 54510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54510
Therefore, the GCF of Fractions 4719/474,9050/345 is 1/54510
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 474,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,345) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(474,345) x common factors =3 x 1 = 3
LCM(474,345) = ( 474 × 345 ) / 3
LCM(474,345) = 163530 / 3
LCM(474,345) = 54510
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 4719/474, 9050/345?
Answer: GCF of Numerators as per given numbers 4719/474, 9050/345 is
GCF of Numerators i.e. for 4719,9050 is 1
LCM of denominators i.e. for 474,345 is 54510.
Thus, GCF of Fractions is 1/54510.Finally, GCF of Fractions for 4719/474, 9050/345 is 1/54510.