Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3045/62,6380/194
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 3045,6380
Greatest Common Factor of Numerators i.e. GCF of 3045,6380 is 145 .
LCM of Denominators means LCM of 62,194 as per the given fractions.
LCM of 62,194 is 6014 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3045,6380
5 | 3045, 6380 |
29 | 609, 1276 |
21, 44 |
∴ So the GCF of the given numbers is 5 x 29 = 145
Factors of 3045
List of positive integer factors of 3045 that divides 3045 without a remainder.
1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045
Factors of 6380
List of positive integer factors of 6380 that divides 6380 without a remainder.
1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380
Greatest Common Factor
We found the factors 3045,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 3045,6380 is 145.
Lets's calculate LCM of 62,194
2 | 62, 194 |
31, 97 |
∴ So the LCM of the given numbers is 2 x 31 x 97 = 6014
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 145/6014
Therefore, the GCF of Fractions 3045/62,6380/194 is 145/6014
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 62,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,194) x common factors =2 x 1 = 2
LCM(62,194) = ( 62 × 194 ) / 2
LCM(62,194) = 12028 / 2
LCM(62,194) = 6014
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 3045/62, 6380/194?
Answer: GCF of Numerators as per given numbers 3045/62, 6380/194 is
GCF of Numerators i.e. for 3045,6380 is 145
LCM of denominators i.e. for 62,194 is 6014.
Thus, GCF of Fractions is 145/6014.Finally, GCF of Fractions for 3045/62, 6380/194 is 145/6014.