Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1334/773,2239/245
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 1334,2239
Greatest Common Factor of Numerators i.e. GCF of 1334,2239 is 1 .
LCM of Denominators means LCM of 773,245 as per the given fractions.
LCM of 773,245 is 189385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1334,2239
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1334
List of positive integer factors of 1334 that divides 1334 without a remainder.
1,2,23,29,46,58,667,1334
Factors of 2239
List of positive integer factors of 2239 that divides 2239 without a remainder.
1,2239
Greatest Common Factor
We found the factors 1334,2239 . The biggest common factor number is the GCF number.
So the greatest common factor 1334,2239 is 1.
Lets's calculate LCM of 773,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 189385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189385
Therefore, the GCF of Fractions 1334/773,2239/245 is 1/189385
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 773,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,245) x common factors =1 x 1 = 1
LCM(773,245) = ( 773 × 245 ) / 1
LCM(773,245) = 189385 / 1
LCM(773,245) = 189385
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 1334/773, 2239/245?
Answer: GCF of Numerators as per given numbers 1334/773, 2239/245 is
GCF of Numerators i.e. for 1334,2239 is 1
LCM of denominators i.e. for 773,245 is 189385.
Thus, GCF of Fractions is 1/189385.Finally, GCF of Fractions for 1334/773, 2239/245 is 1/189385.