Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 304/93,689/603
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 304,689
Greatest Common Factor of Numerators i.e. GCF of 304,689 is 1 .
LCM of Denominators means LCM of 93,603 as per the given fractions.
LCM of 93,603 is 18693 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 304,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Greatest Common Factor
We found the factors 304,689 . The biggest common factor number is the GCF number.
So the greatest common factor 304,689 is 1.
Lets's calculate LCM of 93,603
3 | 93, 603 |
31, 201 |
∴ So the LCM of the given numbers is 3 x 31 x 201 = 18693
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18693
Therefore, the GCF of Fractions 304/93,689/603 is 1/18693
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 93,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,603) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,603) x common factors =3 x 1 = 3
LCM(93,603) = ( 93 × 603 ) / 3
LCM(93,603) = 56079 / 3
LCM(93,603) = 18693
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 304/93, 689/603?
Answer: GCF of Numerators as per given numbers 304/93, 689/603 is
GCF of Numerators i.e. for 304,689 is 1
LCM of denominators i.e. for 93,603 is 18693.
Thus, GCF of Fractions is 1/18693.Finally, GCF of Fractions for 304/93, 689/603 is 1/18693.