Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4775/605,3952/824
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 4775,3952
Greatest Common Factor of Numerators i.e. GCF of 4775,3952 is 1 .
LCM of Denominators means LCM of 605,824 as per the given fractions.
LCM of 605,824 is 498520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4775,3952
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4775
List of positive integer factors of 4775 that divides 4775 without a remainder.
1,5,25,191,955,4775
Factors of 3952
List of positive integer factors of 3952 that divides 3952 without a remainder.
1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Greatest Common Factor
We found the factors 4775,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 4775,3952 is 1.
Lets's calculate LCM of 605,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 498520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/498520
Therefore, the GCF of Fractions 4775/605,3952/824 is 1/498520
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 605,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,824) x common factors =1 x 1 = 1
LCM(605,824) = ( 605 × 824 ) / 1
LCM(605,824) = 498520 / 1
LCM(605,824) = 498520
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 4775/605, 3952/824?
Answer: GCF of Numerators as per given numbers 4775/605, 3952/824 is
GCF of Numerators i.e. for 4775,3952 is 1
LCM of denominators i.e. for 605,824 is 498520.
Thus, GCF of Fractions is 1/498520.Finally, GCF of Fractions for 4775/605, 3952/824 is 1/498520.