Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8369/548,4195/5026
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 8369,4195
Greatest Common Factor of Numerators i.e. GCF of 8369,4195 is 1 .
LCM of Denominators means LCM of 548,5026 as per the given fractions.
LCM of 548,5026 is 1377124 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8369,4195
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8369
List of positive integer factors of 8369 that divides 8369 without a remainder.
1,8369
Factors of 4195
List of positive integer factors of 4195 that divides 4195 without a remainder.
1,5,839,4195
Greatest Common Factor
We found the factors 8369,4195 . The biggest common factor number is the GCF number.
So the greatest common factor 8369,4195 is 1.
Lets's calculate LCM of 548,5026
2 | 548, 5026 |
274, 2513 |
∴ So the LCM of the given numbers is 2 x 274 x 2513 = 1377124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1377124
Therefore, the GCF of Fractions 8369/548,4195/5026 is 1/1377124
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 548,5026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,5026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(548,5026) x common factors =2 x 1 = 2
LCM(548,5026) = ( 548 × 5026 ) / 2
LCM(548,5026) = 2754248 / 2
LCM(548,5026) = 1377124
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 8369/548, 4195/5026?
Answer: GCF of Numerators as per given numbers 8369/548, 4195/5026 is
GCF of Numerators i.e. for 8369,4195 is 1
LCM of denominators i.e. for 548,5026 is 1377124.
Thus, GCF of Fractions is 1/1377124.Finally, GCF of Fractions for 8369/548, 4195/5026 is 1/1377124.