Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 930/474,2418/3988
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 930,2418
Greatest Common Factor of Numerators i.e. GCF of 930,2418 is 186 .
LCM of Denominators means LCM of 474,3988 as per the given fractions.
LCM of 474,3988 is 945156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 930,2418
2 | 930, 2418 |
3 | 465, 1209 |
31 | 155, 403 |
5, 13 |
∴ So the GCF of the given numbers is 2 x 3 x 31 = 186
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 2418
List of positive integer factors of 2418 that divides 2418 without a remainder.
1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418
Greatest Common Factor
We found the factors 930,2418 . The biggest common factor number is the GCF number.
So the greatest common factor 930,2418 is 186.
Lets's calculate LCM of 474,3988
2 | 474, 3988 |
237, 1994 |
∴ So the LCM of the given numbers is 2 x 237 x 1994 = 945156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 186/945156
Therefore, the GCF of Fractions 930/474,2418/3988 is 186/945156
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 474,3988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,3988) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,3988) x common factors =2 x 1 = 2
LCM(474,3988) = ( 474 × 3988 ) / 2
LCM(474,3988) = 1890312 / 2
LCM(474,3988) = 945156
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 930/474, 2418/3988?
Answer: GCF of Numerators as per given numbers 930/474, 2418/3988 is
GCF of Numerators i.e. for 930,2418 is 186
LCM of denominators i.e. for 474,3988 is 945156.
Thus, GCF of Fractions is 186/945156.Finally, GCF of Fractions for 930/474, 2418/3988 is 186/945156.