Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2010/853,4802/770
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 2010,4802
Greatest Common Factor of Numerators i.e. GCF of 2010,4802 is 2 .
LCM of Denominators means LCM of 853,770 as per the given fractions.
LCM of 853,770 is 656810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2010,4802
2 | 2010, 4802 |
1005, 2401 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2010
List of positive integer factors of 2010 that divides 2010 without a remainder.
1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Factors of 4802
List of positive integer factors of 4802 that divides 4802 without a remainder.
1,2,7,14,49,98,343,686,2401,4802
Greatest Common Factor
We found the factors 2010,4802 . The biggest common factor number is the GCF number.
So the greatest common factor 2010,4802 is 2.
Lets's calculate LCM of 853,770
Given numbers has no common factors except 1. So, there LCM is their product i.e 656810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/656810
Therefore, the GCF of Fractions 2010/853,4802/770 is 2/656810
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 853,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,770) x common factors =1 x 1 = 1
LCM(853,770) = ( 853 × 770 ) / 1
LCM(853,770) = 656810 / 1
LCM(853,770) = 656810
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 2010/853, 4802/770?
Answer: GCF of Numerators as per given numbers 2010/853, 4802/770 is
GCF of Numerators i.e. for 2010,4802 is 2
LCM of denominators i.e. for 853,770 is 656810.
Thus, GCF of Fractions is 2/656810.Finally, GCF of Fractions for 2010/853, 4802/770 is 2/656810.