Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3469/37,4435/935
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 3469,4435
Greatest Common Factor of Numerators i.e. GCF of 3469,4435 is 1 .
LCM of Denominators means LCM of 37,935 as per the given fractions.
LCM of 37,935 is 34595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3469,4435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3469
List of positive integer factors of 3469 that divides 3469 without a remainder.
1,3469
Factors of 4435
List of positive integer factors of 4435 that divides 4435 without a remainder.
1,5,887,4435
Greatest Common Factor
We found the factors 3469,4435 . The biggest common factor number is the GCF number.
So the greatest common factor 3469,4435 is 1.
Lets's calculate LCM of 37,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 34595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34595
Therefore, the GCF of Fractions 3469/37,4435/935 is 1/34595
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 37,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,935) x common factors =1 x 1 = 1
LCM(37,935) = ( 37 × 935 ) / 1
LCM(37,935) = 34595 / 1
LCM(37,935) = 34595
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 3469/37, 4435/935?
Answer: GCF of Numerators as per given numbers 3469/37, 4435/935 is
GCF of Numerators i.e. for 3469,4435 is 1
LCM of denominators i.e. for 37,935 is 34595.
Thus, GCF of Fractions is 1/34595.Finally, GCF of Fractions for 3469/37, 4435/935 is 1/34595.