Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 932/155,181/224
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 932,181
Greatest Common Factor of Numerators i.e. GCF of 932,181 is 1 .
LCM of Denominators means LCM of 155,224 as per the given fractions.
LCM of 155,224 is 34720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 932,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 932,181 . The biggest common factor number is the GCF number.
So the greatest common factor 932,181 is 1.
Lets's calculate LCM of 155,224
Given numbers has no common factors except 1. So, there LCM is their product i.e 34720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34720
Therefore, the GCF of Fractions 932/155,181/224 is 1/34720
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 155,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,224) x common factors =1 x 1 = 1
LCM(155,224) = ( 155 × 224 ) / 1
LCM(155,224) = 34720 / 1
LCM(155,224) = 34720
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 932/155, 181/224?
Answer: GCF of Numerators as per given numbers 932/155, 181/224 is
GCF of Numerators i.e. for 932,181 is 1
LCM of denominators i.e. for 155,224 is 34720.
Thus, GCF of Fractions is 1/34720.Finally, GCF of Fractions for 932/155, 181/224 is 1/34720.