Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2786/196,7112/4848
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 2786,7112
Greatest Common Factor of Numerators i.e. GCF of 2786,7112 is 14 .
LCM of Denominators means LCM of 196,4848 as per the given fractions.
LCM of 196,4848 is 237552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2786,7112
2 | 2786, 7112 |
7 | 1393, 3556 |
199, 508 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 2786
List of positive integer factors of 2786 that divides 2786 without a remainder.
1,2,7,14,199,398,1393,2786
Factors of 7112
List of positive integer factors of 7112 that divides 7112 without a remainder.
1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112
Greatest Common Factor
We found the factors 2786,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 2786,7112 is 14.
Lets's calculate LCM of 196,4848
2 | 196, 4848 |
2 | 98, 2424 |
49, 1212 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 1212 = 237552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/237552
Therefore, the GCF of Fractions 2786/196,7112/4848 is 14/237552
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 196,4848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,4848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(196,4848) x common factors =4 x 1 = 4
LCM(196,4848) = ( 196 × 4848 ) / 4
LCM(196,4848) = 950208 / 4
LCM(196,4848) = 237552
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 2786/196, 7112/4848?
Answer: GCF of Numerators as per given numbers 2786/196, 7112/4848 is
GCF of Numerators i.e. for 2786,7112 is 14
LCM of denominators i.e. for 196,4848 is 237552.
Thus, GCF of Fractions is 14/237552.Finally, GCF of Fractions for 2786/196, 7112/4848 is 14/237552.