Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6888/56,9419/245
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 6888,9419
Greatest Common Factor of Numerators i.e. GCF of 6888,9419 is 1 .
LCM of Denominators means LCM of 56,245 as per the given fractions.
LCM of 56,245 is 1960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6888,9419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6888
List of positive integer factors of 6888 that divides 6888 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888
Factors of 9419
List of positive integer factors of 9419 that divides 9419 without a remainder.
1,9419
Greatest Common Factor
We found the factors 6888,9419 . The biggest common factor number is the GCF number.
So the greatest common factor 6888,9419 is 1.
Lets's calculate LCM of 56,245
7 | 56, 245 |
8, 35 |
∴ So the LCM of the given numbers is 7 x 8 x 35 = 1960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1960
Therefore, the GCF of Fractions 6888/56,9419/245 is 1/1960
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 56,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,245) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(56,245) x common factors =7 x 1 = 7
LCM(56,245) = ( 56 × 245 ) / 7
LCM(56,245) = 13720 / 7
LCM(56,245) = 1960
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 6888/56, 9419/245?
Answer: GCF of Numerators as per given numbers 6888/56, 9419/245 is
GCF of Numerators i.e. for 6888,9419 is 1
LCM of denominators i.e. for 56,245 is 1960.
Thus, GCF of Fractions is 1/1960.Finally, GCF of Fractions for 6888/56, 9419/245 is 1/1960.