Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 654/194,3022/419
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 654,3022
Greatest Common Factor of Numerators i.e. GCF of 654,3022 is 2 .
LCM of Denominators means LCM of 194,419 as per the given fractions.
LCM of 194,419 is 81286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 654,3022
2 | 654, 3022 |
327, 1511 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 3022
List of positive integer factors of 3022 that divides 3022 without a remainder.
1,2,1511,3022
Greatest Common Factor
We found the factors 654,3022 . The biggest common factor number is the GCF number.
So the greatest common factor 654,3022 is 2.
Lets's calculate LCM of 194,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 81286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/81286
Therefore, the GCF of Fractions 654/194,3022/419 is 2/81286
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 194,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(194,419) x common factors =1 x 1 = 1
LCM(194,419) = ( 194 × 419 ) / 1
LCM(194,419) = 81286 / 1
LCM(194,419) = 81286
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 654/194, 3022/419?
Answer: GCF of Numerators as per given numbers 654/194, 3022/419 is
GCF of Numerators i.e. for 654,3022 is 2
LCM of denominators i.e. for 194,419 is 81286.
Thus, GCF of Fractions is 2/81286.Finally, GCF of Fractions for 654/194, 3022/419 is 2/81286.