Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3918/526,8661/1986
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 3918,8661
Greatest Common Factor of Numerators i.e. GCF of 3918,8661 is 3 .
LCM of Denominators means LCM of 526,1986 as per the given fractions.
LCM of 526,1986 is 522318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3918,8661
3 | 3918, 8661 |
1306, 2887 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3918
List of positive integer factors of 3918 that divides 3918 without a remainder.
1,2,3,6,653,1306,1959,3918
Factors of 8661
List of positive integer factors of 8661 that divides 8661 without a remainder.
1,3,2887,8661
Greatest Common Factor
We found the factors 3918,8661 . The biggest common factor number is the GCF number.
So the greatest common factor 3918,8661 is 3.
Lets's calculate LCM of 526,1986
2 | 526, 1986 |
263, 993 |
∴ So the LCM of the given numbers is 2 x 263 x 993 = 522318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/522318
Therefore, the GCF of Fractions 3918/526,8661/1986 is 3/522318
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 526,1986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,1986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,1986) x common factors =2 x 1 = 2
LCM(526,1986) = ( 526 × 1986 ) / 2
LCM(526,1986) = 1044636 / 2
LCM(526,1986) = 522318
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 3918/526, 8661/1986?
Answer: GCF of Numerators as per given numbers 3918/526, 8661/1986 is
GCF of Numerators i.e. for 3918,8661 is 3
LCM of denominators i.e. for 526,1986 is 522318.
Thus, GCF of Fractions is 3/522318.Finally, GCF of Fractions for 3918/526, 8661/1986 is 3/522318.