Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6517/412,2802/311
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 6517,2802
Greatest Common Factor of Numerators i.e. GCF of 6517,2802 is 1 .
LCM of Denominators means LCM of 412,311 as per the given fractions.
LCM of 412,311 is 128132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6517,2802
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6517
List of positive integer factors of 6517 that divides 6517 without a remainder.
1,7,19,49,133,343,931,6517
Factors of 2802
List of positive integer factors of 2802 that divides 2802 without a remainder.
1,2,3,6,467,934,1401,2802
Greatest Common Factor
We found the factors 6517,2802 . The biggest common factor number is the GCF number.
So the greatest common factor 6517,2802 is 1.
Lets's calculate LCM of 412,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 128132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128132
Therefore, the GCF of Fractions 6517/412,2802/311 is 1/128132
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 412,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,311) x common factors =1 x 1 = 1
LCM(412,311) = ( 412 × 311 ) / 1
LCM(412,311) = 128132 / 1
LCM(412,311) = 128132
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 6517/412, 2802/311?
Answer: GCF of Numerators as per given numbers 6517/412, 2802/311 is
GCF of Numerators i.e. for 6517,2802 is 1
LCM of denominators i.e. for 412,311 is 128132.
Thus, GCF of Fractions is 1/128132.Finally, GCF of Fractions for 6517/412, 2802/311 is 1/128132.