Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5269/82,4679/786
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 5269,4679
Greatest Common Factor of Numerators i.e. GCF of 5269,4679 is 1 .
LCM of Denominators means LCM of 82,786 as per the given fractions.
LCM of 82,786 is 32226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5269,4679
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5269
List of positive integer factors of 5269 that divides 5269 without a remainder.
1,11,479,5269
Factors of 4679
List of positive integer factors of 4679 that divides 4679 without a remainder.
1,4679
Greatest Common Factor
We found the factors 5269,4679 . The biggest common factor number is the GCF number.
So the greatest common factor 5269,4679 is 1.
Lets's calculate LCM of 82,786
2 | 82, 786 |
41, 393 |
∴ So the LCM of the given numbers is 2 x 41 x 393 = 32226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32226
Therefore, the GCF of Fractions 5269/82,4679/786 is 1/32226
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 82,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,786) x common factors =2 x 1 = 2
LCM(82,786) = ( 82 × 786 ) / 2
LCM(82,786) = 64452 / 2
LCM(82,786) = 32226
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 5269/82, 4679/786?
Answer: GCF of Numerators as per given numbers 5269/82, 4679/786 is
GCF of Numerators i.e. for 5269,4679 is 1
LCM of denominators i.e. for 82,786 is 32226.
Thus, GCF of Fractions is 1/32226.Finally, GCF of Fractions for 5269/82, 4679/786 is 1/32226.