Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/886,54/660,436/860
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 35,54,436
Greatest Common Factor of Numerators i.e. GCF of 35,54,436 is 1 .
LCM of Denominators means LCM of 886,660,860 as per the given fractions.
LCM of 886,660,860 is 12572340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,54,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 35,54,436 . The biggest common factor number is the GCF number.
So the greatest common factor 35,54,436 is 1.
Lets's calculate LCM of 886,660,860
2 | 886, 660, 860 |
2 | 443, 330, 430 |
5 | 443, 165, 215 |
443, 33, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 443 x 33 x 43 = 12572340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12572340
Therefore, the GCF of Fractions 35/886,54/660,436/860 is 1/12572340
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 886,660,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,660,860) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(886,660,860) x common factors =2 x 20 = 40
LCM(886,660,860) = ( 886 × 660 × 860 ) / 40
LCM(886,660,860) = 502893600 / 40
LCM(886,660,860) = 12572340
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 35/886, 54/660, 436/860?
Answer: GCF of Numerators as per given numbers 35/886, 54/660, 436/860 is
GCF of Numerators i.e. for 35,54,436 is 1
LCM of denominators i.e. for 886,660,860 is 12572340.
Thus, GCF of Fractions is 1/12572340.Finally, GCF of Fractions for 35/886, 54/660, 436/860 is 1/12572340.