Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/92,1427/339
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 266,1427
Greatest Common Factor of Numerators i.e. GCF of 266,1427 is 1 .
LCM of Denominators means LCM of 92,339 as per the given fractions.
LCM of 92,339 is 31188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 266,1427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 1427
List of positive integer factors of 1427 that divides 1427 without a remainder.
1,1427
Greatest Common Factor
We found the factors 266,1427 . The biggest common factor number is the GCF number.
So the greatest common factor 266,1427 is 1.
Lets's calculate LCM of 92,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 31188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31188
Therefore, the GCF of Fractions 266/92,1427/339 is 1/31188
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 92,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,339) x common factors =1 x 1 = 1
LCM(92,339) = ( 92 × 339 ) / 1
LCM(92,339) = 31188 / 1
LCM(92,339) = 31188
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 266/92, 1427/339?
Answer: GCF of Numerators as per given numbers 266/92, 1427/339 is
GCF of Numerators i.e. for 266,1427 is 1
LCM of denominators i.e. for 92,339 is 31188.
Thus, GCF of Fractions is 1/31188.Finally, GCF of Fractions for 266/92, 1427/339 is 1/31188.