Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7160/29,3469/278
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 7160,3469
Greatest Common Factor of Numerators i.e. GCF of 7160,3469 is 1 .
LCM of Denominators means LCM of 29,278 as per the given fractions.
LCM of 29,278 is 8062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7160,3469
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7160
List of positive integer factors of 7160 that divides 7160 without a remainder.
1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160
Factors of 3469
List of positive integer factors of 3469 that divides 3469 without a remainder.
1,3469
Greatest Common Factor
We found the factors 7160,3469 . The biggest common factor number is the GCF number.
So the greatest common factor 7160,3469 is 1.
Lets's calculate LCM of 29,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 8062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8062
Therefore, the GCF of Fractions 7160/29,3469/278 is 1/8062
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 29,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,278) x common factors =1 x 1 = 1
LCM(29,278) = ( 29 × 278 ) / 1
LCM(29,278) = 8062 / 1
LCM(29,278) = 8062
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 7160/29, 3469/278?
Answer: GCF of Numerators as per given numbers 7160/29, 3469/278 is
GCF of Numerators i.e. for 7160,3469 is 1
LCM of denominators i.e. for 29,278 is 8062.
Thus, GCF of Fractions is 1/8062.Finally, GCF of Fractions for 7160/29, 3469/278 is 1/8062.