Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/99,738/1136
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 435,738
Greatest Common Factor of Numerators i.e. GCF of 435,738 is 3 .
LCM of Denominators means LCM of 99,1136 as per the given fractions.
LCM of 99,1136 is 112464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,738
3 | 435, 738 |
145, 246 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 435,738 . The biggest common factor number is the GCF number.
So the greatest common factor 435,738 is 3.
Lets's calculate LCM of 99,1136
Given numbers has no common factors except 1. So, there LCM is their product i.e 112464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/112464
Therefore, the GCF of Fractions 435/99,738/1136 is 3/112464
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 99,1136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,1136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,1136) x common factors =1 x 1 = 1
LCM(99,1136) = ( 99 × 1136 ) / 1
LCM(99,1136) = 112464 / 1
LCM(99,1136) = 112464
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 435/99, 738/1136?
Answer: GCF of Numerators as per given numbers 435/99, 738/1136 is
GCF of Numerators i.e. for 435,738 is 3
LCM of denominators i.e. for 99,1136 is 112464.
Thus, GCF of Fractions is 3/112464.Finally, GCF of Fractions for 435/99, 738/1136 is 3/112464.