Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/289,635/343
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 91,635
Greatest Common Factor of Numerators i.e. GCF of 91,635 is 1 .
LCM of Denominators means LCM of 289,343 as per the given fractions.
LCM of 289,343 is 99127 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 91,635 . The biggest common factor number is the GCF number.
So the greatest common factor 91,635 is 1.
Lets's calculate LCM of 289,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 99127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99127
Therefore, the GCF of Fractions 91/289,635/343 is 1/99127
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 289,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,343) x common factors =1 x 1 = 1
LCM(289,343) = ( 289 × 343 ) / 1
LCM(289,343) = 99127 / 1
LCM(289,343) = 99127
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 91/289, 635/343?
Answer: GCF of Numerators as per given numbers 91/289, 635/343 is
GCF of Numerators i.e. for 91,635 is 1
LCM of denominators i.e. for 289,343 is 99127.
Thus, GCF of Fractions is 1/99127.Finally, GCF of Fractions for 91/289, 635/343 is 1/99127.