Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/497,3135/736
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 154,3135
Greatest Common Factor of Numerators i.e. GCF of 154,3135 is 11 .
LCM of Denominators means LCM of 497,736 as per the given fractions.
LCM of 497,736 is 365792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 154,3135
11 | 154, 3135 |
14, 285 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 3135
List of positive integer factors of 3135 that divides 3135 without a remainder.
1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 154,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 154,3135 is 11.
Lets's calculate LCM of 497,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 365792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/365792
Therefore, the GCF of Fractions 154/497,3135/736 is 11/365792
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 497,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,736) x common factors =1 x 1 = 1
LCM(497,736) = ( 497 × 736 ) / 1
LCM(497,736) = 365792 / 1
LCM(497,736) = 365792
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 154/497, 3135/736?
Answer: GCF of Numerators as per given numbers 154/497, 3135/736 is
GCF of Numerators i.e. for 154,3135 is 11
LCM of denominators i.e. for 497,736 is 365792.
Thus, GCF of Fractions is 11/365792.Finally, GCF of Fractions for 154/497, 3135/736 is 11/365792.