Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/758,6099/1535
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 190,6099
Greatest Common Factor of Numerators i.e. GCF of 190,6099 is 19 .
LCM of Denominators means LCM of 758,1535 as per the given fractions.
LCM of 758,1535 is 1163530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 190,6099
19 | 190, 6099 |
10, 321 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 6099
List of positive integer factors of 6099 that divides 6099 without a remainder.
1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 190,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 190,6099 is 19.
Lets's calculate LCM of 758,1535
Given numbers has no common factors except 1. So, there LCM is their product i.e 1163530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1163530
Therefore, the GCF of Fractions 190/758,6099/1535 is 19/1163530
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 758,1535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,1535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,1535) x common factors =1 x 1 = 1
LCM(758,1535) = ( 758 × 1535 ) / 1
LCM(758,1535) = 1163530 / 1
LCM(758,1535) = 1163530
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 190/758, 6099/1535?
Answer: GCF of Numerators as per given numbers 190/758, 6099/1535 is
GCF of Numerators i.e. for 190,6099 is 19
LCM of denominators i.e. for 758,1535 is 1163530.
Thus, GCF of Fractions is 19/1163530.Finally, GCF of Fractions for 190/758, 6099/1535 is 19/1163530.