Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5686/762,9500/5373
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 5686,9500
Greatest Common Factor of Numerators i.e. GCF of 5686,9500 is 2 .
LCM of Denominators means LCM of 762,5373 as per the given fractions.
LCM of 762,5373 is 1364742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5686,9500
2 | 5686, 9500 |
2843, 4750 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5686
List of positive integer factors of 5686 that divides 5686 without a remainder.
1,2,2843,5686
Factors of 9500
List of positive integer factors of 9500 that divides 9500 without a remainder.
1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500
Greatest Common Factor
We found the factors 5686,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 5686,9500 is 2.
Lets's calculate LCM of 762,5373
3 | 762, 5373 |
254, 1791 |
∴ So the LCM of the given numbers is 3 x 254 x 1791 = 1364742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1364742
Therefore, the GCF of Fractions 5686/762,9500/5373 is 2/1364742
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 762,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,5373) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(762,5373) x common factors =3 x 1 = 3
LCM(762,5373) = ( 762 × 5373 ) / 3
LCM(762,5373) = 4094226 / 3
LCM(762,5373) = 1364742
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 5686/762, 9500/5373?
Answer: GCF of Numerators as per given numbers 5686/762, 9500/5373 is
GCF of Numerators i.e. for 5686,9500 is 2
LCM of denominators i.e. for 762,5373 is 1364742.
Thus, GCF of Fractions is 2/1364742.Finally, GCF of Fractions for 5686/762, 9500/5373 is 2/1364742.