Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 771/93,588/330
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 771,588
Greatest Common Factor of Numerators i.e. GCF of 771,588 is 3 .
LCM of Denominators means LCM of 93,330 as per the given fractions.
LCM of 93,330 is 10230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 771,588
3 | 771, 588 |
257, 196 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 771,588 . The biggest common factor number is the GCF number.
So the greatest common factor 771,588 is 3.
Lets's calculate LCM of 93,330
3 | 93, 330 |
31, 110 |
∴ So the LCM of the given numbers is 3 x 31 x 110 = 10230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10230
Therefore, the GCF of Fractions 771/93,588/330 is 3/10230
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 93,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,330) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,330) x common factors =3 x 1 = 3
LCM(93,330) = ( 93 × 330 ) / 3
LCM(93,330) = 30690 / 3
LCM(93,330) = 10230
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 771/93, 588/330?
Answer: GCF of Numerators as per given numbers 771/93, 588/330 is
GCF of Numerators i.e. for 771,588 is 3
LCM of denominators i.e. for 93,330 is 10230.
Thus, GCF of Fractions is 3/10230.Finally, GCF of Fractions for 771/93, 588/330 is 3/10230.