Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6420/245,4845/3028
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 6420,4845
Greatest Common Factor of Numerators i.e. GCF of 6420,4845 is 15 .
LCM of Denominators means LCM of 245,3028 as per the given fractions.
LCM of 245,3028 is 741860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6420,4845
3 | 6420, 4845 |
5 | 2140, 1615 |
428, 323 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 6420
List of positive integer factors of 6420 that divides 6420 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Factors of 4845
List of positive integer factors of 4845 that divides 4845 without a remainder.
1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Greatest Common Factor
We found the factors 6420,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 6420,4845 is 15.
Lets's calculate LCM of 245,3028
Given numbers has no common factors except 1. So, there LCM is their product i.e 741860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/741860
Therefore, the GCF of Fractions 6420/245,4845/3028 is 15/741860
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 245,3028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,3028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,3028) x common factors =1 x 1 = 1
LCM(245,3028) = ( 245 × 3028 ) / 1
LCM(245,3028) = 741860 / 1
LCM(245,3028) = 741860
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 6420/245, 4845/3028?
Answer: GCF of Numerators as per given numbers 6420/245, 4845/3028 is
GCF of Numerators i.e. for 6420,4845 is 15
LCM of denominators i.e. for 245,3028 is 741860.
Thus, GCF of Fractions is 15/741860.Finally, GCF of Fractions for 6420/245, 4845/3028 is 15/741860.