Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 219/459,9690/352
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 219,9690
Greatest Common Factor of Numerators i.e. GCF of 219,9690 is 3 .
LCM of Denominators means LCM of 459,352 as per the given fractions.
LCM of 459,352 is 161568 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 219,9690
3 | 219, 9690 |
73, 3230 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 9690
List of positive integer factors of 9690 that divides 9690 without a remainder.
1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Greatest Common Factor
We found the factors 219,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 219,9690 is 3.
Lets's calculate LCM of 459,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 161568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/161568
Therefore, the GCF of Fractions 219/459,9690/352 is 3/161568
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 459,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,352) x common factors =1 x 1 = 1
LCM(459,352) = ( 459 × 352 ) / 1
LCM(459,352) = 161568 / 1
LCM(459,352) = 161568
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 219/459, 9690/352?
Answer: GCF of Numerators as per given numbers 219/459, 9690/352 is
GCF of Numerators i.e. for 219,9690 is 3
LCM of denominators i.e. for 459,352 is 161568.
Thus, GCF of Fractions is 3/161568.Finally, GCF of Fractions for 219/459, 9690/352 is 3/161568.