Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8350/638,4298/765
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 8350,4298
Greatest Common Factor of Numerators i.e. GCF of 8350,4298 is 2 .
LCM of Denominators means LCM of 638,765 as per the given fractions.
LCM of 638,765 is 488070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8350,4298
2 | 8350, 4298 |
4175, 2149 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8350
List of positive integer factors of 8350 that divides 8350 without a remainder.
1,2,5,10,25,50,167,334,835,1670,4175,8350
Factors of 4298
List of positive integer factors of 4298 that divides 4298 without a remainder.
1,2,7,14,307,614,2149,4298
Greatest Common Factor
We found the factors 8350,4298 . The biggest common factor number is the GCF number.
So the greatest common factor 8350,4298 is 2.
Lets's calculate LCM of 638,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 488070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/488070
Therefore, the GCF of Fractions 8350/638,4298/765 is 2/488070
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 638,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,765) x common factors =1 x 1 = 1
LCM(638,765) = ( 638 × 765 ) / 1
LCM(638,765) = 488070 / 1
LCM(638,765) = 488070
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 8350/638, 4298/765?
Answer: GCF of Numerators as per given numbers 8350/638, 4298/765 is
GCF of Numerators i.e. for 8350,4298 is 2
LCM of denominators i.e. for 638,765 is 488070.
Thus, GCF of Fractions is 2/488070.Finally, GCF of Fractions for 8350/638, 4298/765 is 2/488070.