Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/380,1798/6942
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 67,1798
Greatest Common Factor of Numerators i.e. GCF of 67,1798 is 1 .
LCM of Denominators means LCM of 380,6942 as per the given fractions.
LCM of 380,6942 is 1318980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,1798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 1798
List of positive integer factors of 1798 that divides 1798 without a remainder.
1,2,29,31,58,62,899,1798
Greatest Common Factor
We found the factors 67,1798 . The biggest common factor number is the GCF number.
So the greatest common factor 67,1798 is 1.
Lets's calculate LCM of 380,6942
2 | 380, 6942 |
190, 3471 |
∴ So the LCM of the given numbers is 2 x 190 x 3471 = 1318980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1318980
Therefore, the GCF of Fractions 67/380,1798/6942 is 1/1318980
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 380,6942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,6942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(380,6942) x common factors =2 x 1 = 2
LCM(380,6942) = ( 380 × 6942 ) / 2
LCM(380,6942) = 2637960 / 2
LCM(380,6942) = 1318980
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 67/380, 1798/6942?
Answer: GCF of Numerators as per given numbers 67/380, 1798/6942 is
GCF of Numerators i.e. for 67,1798 is 1
LCM of denominators i.e. for 380,6942 is 1318980.
Thus, GCF of Fractions is 1/1318980.Finally, GCF of Fractions for 67/380, 1798/6942 is 1/1318980.