Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9070/88,3468/325
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 9070,3468
Greatest Common Factor of Numerators i.e. GCF of 9070,3468 is 2 .
LCM of Denominators means LCM of 88,325 as per the given fractions.
LCM of 88,325 is 28600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9070,3468
2 | 9070, 3468 |
4535, 1734 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9070
List of positive integer factors of 9070 that divides 9070 without a remainder.
1,2,5,10,907,1814,4535,9070
Factors of 3468
List of positive integer factors of 3468 that divides 3468 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Greatest Common Factor
We found the factors 9070,3468 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,3468 is 2.
Lets's calculate LCM of 88,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 28600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28600
Therefore, the GCF of Fractions 9070/88,3468/325 is 2/28600
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 88,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,325) x common factors =1 x 1 = 1
LCM(88,325) = ( 88 × 325 ) / 1
LCM(88,325) = 28600 / 1
LCM(88,325) = 28600
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 9070/88, 3468/325?
Answer: GCF of Numerators as per given numbers 9070/88, 3468/325 is
GCF of Numerators i.e. for 9070,3468 is 2
LCM of denominators i.e. for 88,325 is 28600.
Thus, GCF of Fractions is 2/28600.Finally, GCF of Fractions for 9070/88, 3468/325 is 2/28600.