Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/232,125/192,785/520
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 299,125,785
Greatest Common Factor of Numerators i.e. GCF of 299,125,785 is 1 .
LCM of Denominators means LCM of 232,192,520 as per the given fractions.
LCM of 232,192,520 is 361920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,125,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 299,125,785 . The biggest common factor number is the GCF number.
So the greatest common factor 299,125,785 is 1.
Lets's calculate LCM of 232,192,520
2 | 232, 192, 520 |
2 | 116, 96, 260 |
2 | 58, 48, 130 |
29, 24, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 24 x 65 = 361920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361920
Therefore, the GCF of Fractions 299/232,125/192,785/520 is 1/361920
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 232,192,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,192,520) = 8
common factors(in case of two or more numbers have common factors) = 8
GCF(232,192,520) x common factors =8 x 8 = 64
LCM(232,192,520) = ( 232 × 192 × 520 ) / 64
LCM(232,192,520) = 23162880 / 64
LCM(232,192,520) = 361920
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 299/232, 125/192, 785/520?
Answer: GCF of Numerators as per given numbers 299/232, 125/192, 785/520 is
GCF of Numerators i.e. for 299,125,785 is 1
LCM of denominators i.e. for 232,192,520 is 361920.
Thus, GCF of Fractions is 1/361920.Finally, GCF of Fractions for 299/232, 125/192, 785/520 is 1/361920.