Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5998/93,6196/264
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 5998,6196
Greatest Common Factor of Numerators i.e. GCF of 5998,6196 is 2 .
LCM of Denominators means LCM of 93,264 as per the given fractions.
LCM of 93,264 is 8184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5998,6196
2 | 5998, 6196 |
2999, 3098 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5998
List of positive integer factors of 5998 that divides 5998 without a remainder.
1,2,2999,5998
Factors of 6196
List of positive integer factors of 6196 that divides 6196 without a remainder.
1,2,4,1549,3098,6196
Greatest Common Factor
We found the factors 5998,6196 . The biggest common factor number is the GCF number.
So the greatest common factor 5998,6196 is 2.
Lets's calculate LCM of 93,264
3 | 93, 264 |
31, 88 |
∴ So the LCM of the given numbers is 3 x 31 x 88 = 8184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8184
Therefore, the GCF of Fractions 5998/93,6196/264 is 2/8184
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 93,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,264) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,264) x common factors =3 x 1 = 3
LCM(93,264) = ( 93 × 264 ) / 3
LCM(93,264) = 24552 / 3
LCM(93,264) = 8184
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 5998/93, 6196/264?
Answer: GCF of Numerators as per given numbers 5998/93, 6196/264 is
GCF of Numerators i.e. for 5998,6196 is 2
LCM of denominators i.e. for 93,264 is 8184.
Thus, GCF of Fractions is 2/8184.Finally, GCF of Fractions for 5998/93, 6196/264 is 2/8184.