Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1875/119,4700/1420
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 1875,4700
Greatest Common Factor of Numerators i.e. GCF of 1875,4700 is 25 .
LCM of Denominators means LCM of 119,1420 as per the given fractions.
LCM of 119,1420 is 168980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1875,4700
5 | 1875, 4700 |
5 | 375, 940 |
75, 188 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 1875
List of positive integer factors of 1875 that divides 1875 without a remainder.
1,3,5,15,25,75,125,375,625,1875
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
Greatest Common Factor
We found the factors 1875,4700 . The biggest common factor number is the GCF number.
So the greatest common factor 1875,4700 is 25.
Lets's calculate LCM of 119,1420
Given numbers has no common factors except 1. So, there LCM is their product i.e 168980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/168980
Therefore, the GCF of Fractions 1875/119,4700/1420 is 25/168980
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 119,1420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,1420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,1420) x common factors =1 x 1 = 1
LCM(119,1420) = ( 119 × 1420 ) / 1
LCM(119,1420) = 168980 / 1
LCM(119,1420) = 168980
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 1875/119, 4700/1420?
Answer: GCF of Numerators as per given numbers 1875/119, 4700/1420 is
GCF of Numerators i.e. for 1875,4700 is 25
LCM of denominators i.e. for 119,1420 is 168980.
Thus, GCF of Fractions is 25/168980.Finally, GCF of Fractions for 1875/119, 4700/1420 is 25/168980.