Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 601/117,440/748,881/949
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 601,440,881
Greatest Common Factor of Numerators i.e. GCF of 601,440,881 is 1 .
LCM of Denominators means LCM of 117,748,949 as per the given fractions.
LCM of 117,748,949 is 6388668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 601,440,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 601,440,881 . The biggest common factor number is the GCF number.
So the greatest common factor 601,440,881 is 1.
Lets's calculate LCM of 117,748,949
13 | 117, 748, 949 |
9, 748, 73 |
∴ So the LCM of the given numbers is 13 x 9 x 748 x 73 = 6388668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6388668
Therefore, the GCF of Fractions 601/117,440/748,881/949 is 1/6388668
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 117,748,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,748,949) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(117,748,949) x common factors =1 x 13 = 13
LCM(117,748,949) = ( 117 × 748 × 949 ) / 13
LCM(117,748,949) = 83052684 / 13
LCM(117,748,949) = 6388668
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 601/117, 440/748, 881/949?
Answer: GCF of Numerators as per given numbers 601/117, 440/748, 881/949 is
GCF of Numerators i.e. for 601,440,881 is 1
LCM of denominators i.e. for 117,748,949 is 6388668.
Thus, GCF of Fractions is 1/6388668.Finally, GCF of Fractions for 601/117, 440/748, 881/949 is 1/6388668.