Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5112/969,9550/476
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 5112,9550
Greatest Common Factor of Numerators i.e. GCF of 5112,9550 is 2 .
LCM of Denominators means LCM of 969,476 as per the given fractions.
LCM of 969,476 is 27132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5112,9550
2 | 5112, 9550 |
2556, 4775 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5112
List of positive integer factors of 5112 that divides 5112 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Factors of 9550
List of positive integer factors of 9550 that divides 9550 without a remainder.
1,2,5,10,25,50,191,382,955,1910,4775,9550
Greatest Common Factor
We found the factors 5112,9550 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,9550 is 2.
Lets's calculate LCM of 969,476
17 | 969, 476 |
57, 28 |
∴ So the LCM of the given numbers is 17 x 57 x 28 = 27132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27132
Therefore, the GCF of Fractions 5112/969,9550/476 is 2/27132
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 969,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,476) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(969,476) x common factors =17 x 1 = 17
LCM(969,476) = ( 969 × 476 ) / 17
LCM(969,476) = 461244 / 17
LCM(969,476) = 27132
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 5112/969, 9550/476?
Answer: GCF of Numerators as per given numbers 5112/969, 9550/476 is
GCF of Numerators i.e. for 5112,9550 is 2
LCM of denominators i.e. for 969,476 is 27132.
Thus, GCF of Fractions is 2/27132.Finally, GCF of Fractions for 5112/969, 9550/476 is 2/27132.