Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3350/87,9585/112
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 3350,9585
Greatest Common Factor of Numerators i.e. GCF of 3350,9585 is 5 .
LCM of Denominators means LCM of 87,112 as per the given fractions.
LCM of 87,112 is 9744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3350,9585
5 | 3350, 9585 |
670, 1917 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3350
List of positive integer factors of 3350 that divides 3350 without a remainder.
1,2,5,10,25,50,67,134,335,670,1675,3350
Factors of 9585
List of positive integer factors of 9585 that divides 9585 without a remainder.
1,3,5,9,15,27,45,71,135,213,355,639,1065,1917,3195,9585
Greatest Common Factor
We found the factors 3350,9585 . The biggest common factor number is the GCF number.
So the greatest common factor 3350,9585 is 5.
Lets's calculate LCM of 87,112
Given numbers has no common factors except 1. So, there LCM is their product i.e 9744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9744
Therefore, the GCF of Fractions 3350/87,9585/112 is 5/9744
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 87,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,112) x common factors =1 x 1 = 1
LCM(87,112) = ( 87 × 112 ) / 1
LCM(87,112) = 9744 / 1
LCM(87,112) = 9744
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 3350/87, 9585/112?
Answer: GCF of Numerators as per given numbers 3350/87, 9585/112 is
GCF of Numerators i.e. for 3350,9585 is 5
LCM of denominators i.e. for 87,112 is 9744.
Thus, GCF of Fractions is 5/9744.Finally, GCF of Fractions for 3350/87, 9585/112 is 5/9744.