Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 386/30,5628/777
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 386,5628
Greatest Common Factor of Numerators i.e. GCF of 386,5628 is 2 .
LCM of Denominators means LCM of 30,777 as per the given fractions.
LCM of 30,777 is 7770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 386,5628
2 | 386, 5628 |
193, 2814 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 5628
List of positive integer factors of 5628 that divides 5628 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Greatest Common Factor
We found the factors 386,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 386,5628 is 2.
Lets's calculate LCM of 30,777
3 | 30, 777 |
10, 259 |
∴ So the LCM of the given numbers is 3 x 10 x 259 = 7770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7770
Therefore, the GCF of Fractions 386/30,5628/777 is 2/7770
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 30,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,777) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(30,777) x common factors =3 x 1 = 3
LCM(30,777) = ( 30 × 777 ) / 3
LCM(30,777) = 23310 / 3
LCM(30,777) = 7770
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 386/30, 5628/777?
Answer: GCF of Numerators as per given numbers 386/30, 5628/777 is
GCF of Numerators i.e. for 386,5628 is 2
LCM of denominators i.e. for 30,777 is 7770.
Thus, GCF of Fractions is 2/7770.Finally, GCF of Fractions for 386/30, 5628/777 is 2/7770.