Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9313/93,6201/336
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 9313,6201
Greatest Common Factor of Numerators i.e. GCF of 9313,6201 is 1 .
LCM of Denominators means LCM of 93,336 as per the given fractions.
LCM of 93,336 is 10416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9313,6201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9313
List of positive integer factors of 9313 that divides 9313 without a remainder.
1,67,139,9313
Factors of 6201
List of positive integer factors of 6201 that divides 6201 without a remainder.
1,3,9,13,39,53,117,159,477,689,2067,6201
Greatest Common Factor
We found the factors 9313,6201 . The biggest common factor number is the GCF number.
So the greatest common factor 9313,6201 is 1.
Lets's calculate LCM of 93,336
3 | 93, 336 |
31, 112 |
∴ So the LCM of the given numbers is 3 x 31 x 112 = 10416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10416
Therefore, the GCF of Fractions 9313/93,6201/336 is 1/10416
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 93,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,336) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,336) x common factors =3 x 1 = 3
LCM(93,336) = ( 93 × 336 ) / 3
LCM(93,336) = 31248 / 3
LCM(93,336) = 10416
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 9313/93, 6201/336?
Answer: GCF of Numerators as per given numbers 9313/93, 6201/336 is
GCF of Numerators i.e. for 9313,6201 is 1
LCM of denominators i.e. for 93,336 is 10416.
Thus, GCF of Fractions is 1/10416.Finally, GCF of Fractions for 9313/93, 6201/336 is 1/10416.