Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4807/842,7027/936
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 4807,7027
Greatest Common Factor of Numerators i.e. GCF of 4807,7027 is 1 .
LCM of Denominators means LCM of 842,936 as per the given fractions.
LCM of 842,936 is 394056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4807,7027
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4807
List of positive integer factors of 4807 that divides 4807 without a remainder.
1,11,19,23,209,253,437,4807
Factors of 7027
List of positive integer factors of 7027 that divides 7027 without a remainder.
1,7027
Greatest Common Factor
We found the factors 4807,7027 . The biggest common factor number is the GCF number.
So the greatest common factor 4807,7027 is 1.
Lets's calculate LCM of 842,936
2 | 842, 936 |
421, 468 |
∴ So the LCM of the given numbers is 2 x 421 x 468 = 394056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394056
Therefore, the GCF of Fractions 4807/842,7027/936 is 1/394056
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 842,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,936) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,936) x common factors =2 x 1 = 2
LCM(842,936) = ( 842 × 936 ) / 2
LCM(842,936) = 788112 / 2
LCM(842,936) = 394056
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 4807/842, 7027/936?
Answer: GCF of Numerators as per given numbers 4807/842, 7027/936 is
GCF of Numerators i.e. for 4807,7027 is 1
LCM of denominators i.e. for 842,936 is 394056.
Thus, GCF of Fractions is 1/394056.Finally, GCF of Fractions for 4807/842, 7027/936 is 1/394056.