Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3127/84,5133/626
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 3127,5133
Greatest Common Factor of Numerators i.e. GCF of 3127,5133 is 59 .
LCM of Denominators means LCM of 84,626 as per the given fractions.
LCM of 84,626 is 26292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3127,5133
59 | 3127, 5133 |
53, 87 |
∴ So the GCF of the given numbers is 59 = 59
Factors of 3127
List of positive integer factors of 3127 that divides 3127 without a remainder.
1,53,59,3127
Factors of 5133
List of positive integer factors of 5133 that divides 5133 without a remainder.
1,3,29,59,87,177,1711,5133
Greatest Common Factor
We found the factors 3127,5133 . The biggest common factor number is the GCF number.
So the greatest common factor 3127,5133 is 59.
Lets's calculate LCM of 84,626
2 | 84, 626 |
42, 313 |
∴ So the LCM of the given numbers is 2 x 42 x 313 = 26292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/26292
Therefore, the GCF of Fractions 3127/84,5133/626 is 59/26292
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 84,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(84,626) x common factors =2 x 1 = 2
LCM(84,626) = ( 84 × 626 ) / 2
LCM(84,626) = 52584 / 2
LCM(84,626) = 26292
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 3127/84, 5133/626?
Answer: GCF of Numerators as per given numbers 3127/84, 5133/626 is
GCF of Numerators i.e. for 3127,5133 is 59
LCM of denominators i.e. for 84,626 is 26292.
Thus, GCF of Fractions is 59/26292.Finally, GCF of Fractions for 3127/84, 5133/626 is 59/26292.