Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 245/2646,921/7462
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 245,921
Greatest Common Factor of Numerators i.e. GCF of 245,921 is 1 .
LCM of Denominators means LCM of 2646,7462 as per the given fractions.
LCM of 2646,7462 is 1410318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 245,921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Greatest Common Factor
We found the factors 245,921 . The biggest common factor number is the GCF number.
So the greatest common factor 245,921 is 1.
Lets's calculate LCM of 2646,7462
2 | 2646, 7462 |
7 | 1323, 3731 |
189, 533 |
∴ So the LCM of the given numbers is 2 x 7 x 189 x 533 = 1410318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1410318
Therefore, the GCF of Fractions 245/2646,921/7462 is 1/1410318
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 2646,7462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2646,7462) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(2646,7462) x common factors =14 x 1 = 14
LCM(2646,7462) = ( 2646 × 7462 ) / 14
LCM(2646,7462) = 19744452 / 14
LCM(2646,7462) = 1410318
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 245/2646, 921/7462?
Answer: GCF of Numerators as per given numbers 245/2646, 921/7462 is
GCF of Numerators i.e. for 245,921 is 1
LCM of denominators i.e. for 2646,7462 is 1410318.
Thus, GCF of Fractions is 1/1410318.Finally, GCF of Fractions for 245/2646, 921/7462 is 1/1410318.