Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/464,698/743,765/806
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 935,698,765
Greatest Common Factor of Numerators i.e. GCF of 935,698,765 is 1 .
LCM of Denominators means LCM of 464,743,806 as per the given fractions.
LCM of 464,743,806 is 138935056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 935,698,765
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 935,698,765 . The biggest common factor number is the GCF number.
So the greatest common factor 935,698,765 is 1.
Lets's calculate LCM of 464,743,806
2 | 464, 743, 806 |
232, 743, 403 |
∴ So the LCM of the given numbers is 2 x 232 x 743 x 403 = 138935056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138935056
Therefore, the GCF of Fractions 935/464,698/743,765/806 is 1/138935056
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 464,743,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,743,806) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(464,743,806) x common factors =1 x 2 = 2
LCM(464,743,806) = ( 464 × 743 × 806 ) / 2
LCM(464,743,806) = 277870112 / 2
LCM(464,743,806) = 138935056
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 935/464, 698/743, 765/806?
Answer: GCF of Numerators as per given numbers 935/464, 698/743, 765/806 is
GCF of Numerators i.e. for 935,698,765 is 1
LCM of denominators i.e. for 464,743,806 is 138935056.
Thus, GCF of Fractions is 1/138935056.Finally, GCF of Fractions for 935/464, 698/743, 765/806 is 1/138935056.