Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2607/796,4318/678
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 2607,4318
Greatest Common Factor of Numerators i.e. GCF of 2607,4318 is 1 .
LCM of Denominators means LCM of 796,678 as per the given fractions.
LCM of 796,678 is 269844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2607,4318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2607
List of positive integer factors of 2607 that divides 2607 without a remainder.
1,3,11,33,79,237,869,2607
Factors of 4318
List of positive integer factors of 4318 that divides 4318 without a remainder.
1,2,17,34,127,254,2159,4318
Greatest Common Factor
We found the factors 2607,4318 . The biggest common factor number is the GCF number.
So the greatest common factor 2607,4318 is 1.
Lets's calculate LCM of 796,678
2 | 796, 678 |
398, 339 |
∴ So the LCM of the given numbers is 2 x 398 x 339 = 269844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269844
Therefore, the GCF of Fractions 2607/796,4318/678 is 1/269844
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 796,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,678) x common factors =2 x 1 = 2
LCM(796,678) = ( 796 × 678 ) / 2
LCM(796,678) = 539688 / 2
LCM(796,678) = 269844
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 2607/796, 4318/678?
Answer: GCF of Numerators as per given numbers 2607/796, 4318/678 is
GCF of Numerators i.e. for 2607,4318 is 1
LCM of denominators i.e. for 796,678 is 269844.
Thus, GCF of Fractions is 1/269844.Finally, GCF of Fractions for 2607/796, 4318/678 is 1/269844.