Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/765,671/708,888/241
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 56,671,888
Greatest Common Factor of Numerators i.e. GCF of 56,671,888 is 1 .
LCM of Denominators means LCM of 765,708,241 as per the given fractions.
LCM of 765,708,241 is 43510140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,671,888
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 56,671,888 . The biggest common factor number is the GCF number.
So the greatest common factor 56,671,888 is 1.
Lets's calculate LCM of 765,708,241
3 | 765, 708, 241 |
255, 236, 241 |
∴ So the LCM of the given numbers is 3 x 255 x 236 x 241 = 43510140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43510140
Therefore, the GCF of Fractions 56/765,671/708,888/241 is 1/43510140
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 765,708,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,708,241) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(765,708,241) x common factors =1 x 3 = 3
LCM(765,708,241) = ( 765 × 708 × 241 ) / 3
LCM(765,708,241) = 130530420 / 3
LCM(765,708,241) = 43510140
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 56/765, 671/708, 888/241?
Answer: GCF of Numerators as per given numbers 56/765, 671/708, 888/241 is
GCF of Numerators i.e. for 56,671,888 is 1
LCM of denominators i.e. for 765,708,241 is 43510140.
Thus, GCF of Fractions is 1/43510140.Finally, GCF of Fractions for 56/765, 671/708, 888/241 is 1/43510140.