Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/1752,304/4744
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 886,304
Greatest Common Factor of Numerators i.e. GCF of 886,304 is 2 .
LCM of Denominators means LCM of 1752,4744 as per the given fractions.
LCM of 1752,4744 is 1038936 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 886,304
2 | 886, 304 |
443, 152 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 886,304 . The biggest common factor number is the GCF number.
So the greatest common factor 886,304 is 2.
Lets's calculate LCM of 1752,4744
2 | 1752, 4744 |
2 | 876, 2372 |
2 | 438, 1186 |
219, 593 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 219 x 593 = 1038936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1038936
Therefore, the GCF of Fractions 886/1752,304/4744 is 2/1038936
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 1752,4744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1752,4744) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(1752,4744) x common factors =8 x 1 = 8
LCM(1752,4744) = ( 1752 × 4744 ) / 8
LCM(1752,4744) = 8311488 / 8
LCM(1752,4744) = 1038936
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 886/1752, 304/4744?
Answer: GCF of Numerators as per given numbers 886/1752, 304/4744 is
GCF of Numerators i.e. for 886,304 is 2
LCM of denominators i.e. for 1752,4744 is 1038936.
Thus, GCF of Fractions is 2/1038936.Finally, GCF of Fractions for 886/1752, 304/4744 is 2/1038936.