Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6125/10,3072/187
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 6125,3072
Greatest Common Factor of Numerators i.e. GCF of 6125,3072 is 1 .
LCM of Denominators means LCM of 10,187 as per the given fractions.
LCM of 10,187 is 1870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6125,3072
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6125
List of positive integer factors of 6125 that divides 6125 without a remainder.
1,5,7,25,35,49,125,175,245,875,1225,6125
Factors of 3072
List of positive integer factors of 3072 that divides 3072 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072
Greatest Common Factor
We found the factors 6125,3072 . The biggest common factor number is the GCF number.
So the greatest common factor 6125,3072 is 1.
Lets's calculate LCM of 10,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 1870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1870
Therefore, the GCF of Fractions 6125/10,3072/187 is 1/1870
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 10,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,187) x common factors =1 x 1 = 1
LCM(10,187) = ( 10 × 187 ) / 1
LCM(10,187) = 1870 / 1
LCM(10,187) = 1870
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 6125/10, 3072/187?
Answer: GCF of Numerators as per given numbers 6125/10, 3072/187 is
GCF of Numerators i.e. for 6125,3072 is 1
LCM of denominators i.e. for 10,187 is 1870.
Thus, GCF of Fractions is 1/1870.Finally, GCF of Fractions for 6125/10, 3072/187 is 1/1870.