Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1925/427,7223/192
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 1925,7223
Greatest Common Factor of Numerators i.e. GCF of 1925,7223 is 1 .
LCM of Denominators means LCM of 427,192 as per the given fractions.
LCM of 427,192 is 81984 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1925,7223
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1925
List of positive integer factors of 1925 that divides 1925 without a remainder.
1,5,7,11,25,35,55,77,175,275,385,1925
Factors of 7223
List of positive integer factors of 7223 that divides 7223 without a remainder.
1,31,233,7223
Greatest Common Factor
We found the factors 1925,7223 . The biggest common factor number is the GCF number.
So the greatest common factor 1925,7223 is 1.
Lets's calculate LCM of 427,192
Given numbers has no common factors except 1. So, there LCM is their product i.e 81984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81984
Therefore, the GCF of Fractions 1925/427,7223/192 is 1/81984
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 427,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,192) x common factors =1 x 1 = 1
LCM(427,192) = ( 427 × 192 ) / 1
LCM(427,192) = 81984 / 1
LCM(427,192) = 81984
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 1925/427, 7223/192?
Answer: GCF of Numerators as per given numbers 1925/427, 7223/192 is
GCF of Numerators i.e. for 1925,7223 is 1
LCM of denominators i.e. for 427,192 is 81984.
Thus, GCF of Fractions is 1/81984.Finally, GCF of Fractions for 1925/427, 7223/192 is 1/81984.