Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 351/938,988/859
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 351,988
Greatest Common Factor of Numerators i.e. GCF of 351,988 is 13 .
LCM of Denominators means LCM of 938,859 as per the given fractions.
LCM of 938,859 is 805742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 351,988
13 | 351, 988 |
27, 76 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 351,988 . The biggest common factor number is the GCF number.
So the greatest common factor 351,988 is 13.
Lets's calculate LCM of 938,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 805742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/805742
Therefore, the GCF of Fractions 351/938,988/859 is 13/805742
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 938,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,859) x common factors =1 x 1 = 1
LCM(938,859) = ( 938 × 859 ) / 1
LCM(938,859) = 805742 / 1
LCM(938,859) = 805742
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 351/938, 988/859?
Answer: GCF of Numerators as per given numbers 351/938, 988/859 is
GCF of Numerators i.e. for 351,988 is 13
LCM of denominators i.e. for 938,859 is 805742.
Thus, GCF of Fractions is 13/805742.Finally, GCF of Fractions for 351/938, 988/859 is 13/805742.