Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7858/59,4139/299
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 7858,4139
Greatest Common Factor of Numerators i.e. GCF of 7858,4139 is 1 .
LCM of Denominators means LCM of 59,299 as per the given fractions.
LCM of 59,299 is 17641 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7858,4139
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7858
List of positive integer factors of 7858 that divides 7858 without a remainder.
1,2,3929,7858
Factors of 4139
List of positive integer factors of 4139 that divides 4139 without a remainder.
1,4139
Greatest Common Factor
We found the factors 7858,4139 . The biggest common factor number is the GCF number.
So the greatest common factor 7858,4139 is 1.
Lets's calculate LCM of 59,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 17641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17641
Therefore, the GCF of Fractions 7858/59,4139/299 is 1/17641
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 59,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,299) x common factors =1 x 1 = 1
LCM(59,299) = ( 59 × 299 ) / 1
LCM(59,299) = 17641 / 1
LCM(59,299) = 17641
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 7858/59, 4139/299?
Answer: GCF of Numerators as per given numbers 7858/59, 4139/299 is
GCF of Numerators i.e. for 7858,4139 is 1
LCM of denominators i.e. for 59,299 is 17641.
Thus, GCF of Fractions is 1/17641.Finally, GCF of Fractions for 7858/59, 4139/299 is 1/17641.