Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6764/222,3653/245
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 6764,3653
Greatest Common Factor of Numerators i.e. GCF of 6764,3653 is 1 .
LCM of Denominators means LCM of 222,245 as per the given fractions.
LCM of 222,245 is 54390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6764,3653
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6764
List of positive integer factors of 6764 that divides 6764 without a remainder.
1,2,4,19,38,76,89,178,356,1691,3382,6764
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1,13,281,3653
Greatest Common Factor
We found the factors 6764,3653 . The biggest common factor number is the GCF number.
So the greatest common factor 6764,3653 is 1.
Lets's calculate LCM of 222,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 54390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54390
Therefore, the GCF of Fractions 6764/222,3653/245 is 1/54390
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 222,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,245) x common factors =1 x 1 = 1
LCM(222,245) = ( 222 × 245 ) / 1
LCM(222,245) = 54390 / 1
LCM(222,245) = 54390
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 6764/222, 3653/245?
Answer: GCF of Numerators as per given numbers 6764/222, 3653/245 is
GCF of Numerators i.e. for 6764,3653 is 1
LCM of denominators i.e. for 222,245 is 54390.
Thus, GCF of Fractions is 1/54390.Finally, GCF of Fractions for 6764/222, 3653/245 is 1/54390.