Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9138/470,3354/832
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 9138,3354
Greatest Common Factor of Numerators i.e. GCF of 9138,3354 is 6 .
LCM of Denominators means LCM of 470,832 as per the given fractions.
LCM of 470,832 is 195520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9138,3354
2 | 9138, 3354 |
3 | 4569, 1677 |
1523, 559 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 9138
List of positive integer factors of 9138 that divides 9138 without a remainder.
1,2,3,6,1523,3046,4569,9138
Factors of 3354
List of positive integer factors of 3354 that divides 3354 without a remainder.
1,2,3,6,13,26,39,43,78,86,129,258,559,1118,1677,3354
Greatest Common Factor
We found the factors 9138,3354 . The biggest common factor number is the GCF number.
So the greatest common factor 9138,3354 is 6.
Lets's calculate LCM of 470,832
2 | 470, 832 |
235, 416 |
∴ So the LCM of the given numbers is 2 x 235 x 416 = 195520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/195520
Therefore, the GCF of Fractions 9138/470,3354/832 is 6/195520
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 470,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,832) x common factors =2 x 1 = 2
LCM(470,832) = ( 470 × 832 ) / 2
LCM(470,832) = 391040 / 2
LCM(470,832) = 195520
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 9138/470, 3354/832?
Answer: GCF of Numerators as per given numbers 9138/470, 3354/832 is
GCF of Numerators i.e. for 9138,3354 is 6
LCM of denominators i.e. for 470,832 is 195520.
Thus, GCF of Fractions is 6/195520.Finally, GCF of Fractions for 9138/470, 3354/832 is 6/195520.