Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 296/72,432/6142
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 296,432
Greatest Common Factor of Numerators i.e. GCF of 296,432 is 8 .
LCM of Denominators means LCM of 72,6142 as per the given fractions.
LCM of 72,6142 is 221112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 296,432
2 | 296, 432 |
2 | 148, 216 |
2 | 74, 108 |
37, 54 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 296,432 . The biggest common factor number is the GCF number.
So the greatest common factor 296,432 is 8.
Lets's calculate LCM of 72,6142
2 | 72, 6142 |
36, 3071 |
∴ So the LCM of the given numbers is 2 x 36 x 3071 = 221112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/221112
Therefore, the GCF of Fractions 296/72,432/6142 is 8/221112
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 72,6142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,6142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(72,6142) x common factors =2 x 1 = 2
LCM(72,6142) = ( 72 × 6142 ) / 2
LCM(72,6142) = 442224 / 2
LCM(72,6142) = 221112
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 296/72, 432/6142?
Answer: GCF of Numerators as per given numbers 296/72, 432/6142 is
GCF of Numerators i.e. for 296,432 is 8
LCM of denominators i.e. for 72,6142 is 221112.
Thus, GCF of Fractions is 8/221112.Finally, GCF of Fractions for 296/72, 432/6142 is 8/221112.