Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8471/42,4160/368
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 8471,4160
Greatest Common Factor of Numerators i.e. GCF of 8471,4160 is 1 .
LCM of Denominators means LCM of 42,368 as per the given fractions.
LCM of 42,368 is 7728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8471,4160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8471
List of positive integer factors of 8471 that divides 8471 without a remainder.
1,43,197,8471
Factors of 4160
List of positive integer factors of 4160 that divides 4160 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 8471,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 8471,4160 is 1.
Lets's calculate LCM of 42,368
2 | 42, 368 |
21, 184 |
∴ So the LCM of the given numbers is 2 x 21 x 184 = 7728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7728
Therefore, the GCF of Fractions 8471/42,4160/368 is 1/7728
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 42,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,368) x common factors =2 x 1 = 2
LCM(42,368) = ( 42 × 368 ) / 2
LCM(42,368) = 15456 / 2
LCM(42,368) = 7728
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 8471/42, 4160/368?
Answer: GCF of Numerators as per given numbers 8471/42, 4160/368 is
GCF of Numerators i.e. for 8471,4160 is 1
LCM of denominators i.e. for 42,368 is 7728.
Thus, GCF of Fractions is 1/7728.Finally, GCF of Fractions for 8471/42, 4160/368 is 1/7728.