Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4700/467,4900/865
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 4700,4900
Greatest Common Factor of Numerators i.e. GCF of 4700,4900 is 100 .
LCM of Denominators means LCM of 467,865 as per the given fractions.
LCM of 467,865 is 403955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4700,4900
2 | 4700, 4900 |
2 | 2350, 2450 |
5 | 1175, 1225 |
5 | 235, 245 |
47, 49 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100
Factors of 4700
List of positive integer factors of 4700 that divides 4700 without a remainder.
1,2,4,5,10,20,25,47,50,94,100,188,235,470,940,1175,2350,4700
Factors of 4900
List of positive integer factors of 4900 that divides 4900 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,49,50,70,98,100,140,175,196,245,350,490,700,980,1225,2450,4900
Greatest Common Factor
We found the factors 4700,4900 . The biggest common factor number is the GCF number.
So the greatest common factor 4700,4900 is 100.
Lets's calculate LCM of 467,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 403955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/403955
Therefore, the GCF of Fractions 4700/467,4900/865 is 100/403955
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 467,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,865) x common factors =1 x 1 = 1
LCM(467,865) = ( 467 × 865 ) / 1
LCM(467,865) = 403955 / 1
LCM(467,865) = 403955
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 4700/467, 4900/865?
Answer: GCF of Numerators as per given numbers 4700/467, 4900/865 is
GCF of Numerators i.e. for 4700,4900 is 100
LCM of denominators i.e. for 467,865 is 403955.
Thus, GCF of Fractions is 100/403955.Finally, GCF of Fractions for 4700/467, 4900/865 is 100/403955.