Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4408/685,9295/2496
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 4408,9295
Greatest Common Factor of Numerators i.e. GCF of 4408,9295 is 1 .
LCM of Denominators means LCM of 685,2496 as per the given fractions.
LCM of 685,2496 is 1709760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4408,9295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4408
List of positive integer factors of 4408 that divides 4408 without a remainder.
1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408
Factors of 9295
List of positive integer factors of 9295 that divides 9295 without a remainder.
1,5,11,13,55,65,143,169,715,845,1859,9295
Greatest Common Factor
We found the factors 4408,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 4408,9295 is 1.
Lets's calculate LCM of 685,2496
Given numbers has no common factors except 1. So, there LCM is their product i.e 1709760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709760
Therefore, the GCF of Fractions 4408/685,9295/2496 is 1/1709760
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 685,2496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,2496) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,2496) x common factors =1 x 1 = 1
LCM(685,2496) = ( 685 × 2496 ) / 1
LCM(685,2496) = 1709760 / 1
LCM(685,2496) = 1709760
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 4408/685, 9295/2496?
Answer: GCF of Numerators as per given numbers 4408/685, 9295/2496 is
GCF of Numerators i.e. for 4408,9295 is 1
LCM of denominators i.e. for 685,2496 is 1709760.
Thus, GCF of Fractions is 1/1709760.Finally, GCF of Fractions for 4408/685, 9295/2496 is 1/1709760.