Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2450/76,4566/245
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 2450,4566
Greatest Common Factor of Numerators i.e. GCF of 2450,4566 is 2 .
LCM of Denominators means LCM of 76,245 as per the given fractions.
LCM of 76,245 is 18620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2450,4566
2 | 2450, 4566 |
1225, 2283 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2450
List of positive integer factors of 2450 that divides 2450 without a remainder.
1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Factors of 4566
List of positive integer factors of 4566 that divides 4566 without a remainder.
1,2,3,6,761,1522,2283,4566
Greatest Common Factor
We found the factors 2450,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 2450,4566 is 2.
Lets's calculate LCM of 76,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 18620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18620
Therefore, the GCF of Fractions 2450/76,4566/245 is 2/18620
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 76,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,245) x common factors =1 x 1 = 1
LCM(76,245) = ( 76 × 245 ) / 1
LCM(76,245) = 18620 / 1
LCM(76,245) = 18620
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 2450/76, 4566/245?
Answer: GCF of Numerators as per given numbers 2450/76, 4566/245 is
GCF of Numerators i.e. for 2450,4566 is 2
LCM of denominators i.e. for 76,245 is 18620.
Thus, GCF of Fractions is 2/18620.Finally, GCF of Fractions for 2450/76, 4566/245 is 2/18620.