Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 112/76,969/88,496/743
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 112,969,496
Greatest Common Factor of Numerators i.e. GCF of 112,969,496 is 1 .
LCM of Denominators means LCM of 76,88,743 as per the given fractions.
LCM of 76,88,743 is 1242296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 112,969,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 112,969,496 . The biggest common factor number is the GCF number.
So the greatest common factor 112,969,496 is 1.
Lets's calculate LCM of 76,88,743
2 | 76, 88, 743 |
2 | 38, 44, 743 |
19, 22, 743 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 22 x 743 = 1242296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1242296
Therefore, the GCF of Fractions 112/76,969/88,496/743 is 1/1242296
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 76,88,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,88,743) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,88,743) x common factors =1 x 4 = 4
LCM(76,88,743) = ( 76 × 88 × 743 ) / 4
LCM(76,88,743) = 4969184 / 4
LCM(76,88,743) = 1242296
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 112/76, 969/88, 496/743?
Answer: GCF of Numerators as per given numbers 112/76, 969/88, 496/743 is
GCF of Numerators i.e. for 112,969,496 is 1
LCM of denominators i.e. for 76,88,743 is 1242296.
Thus, GCF of Fractions is 1/1242296.Finally, GCF of Fractions for 112/76, 969/88, 496/743 is 1/1242296.