Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1474/126,5686/7248
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 1474,5686
Greatest Common Factor of Numerators i.e. GCF of 1474,5686 is 2 .
LCM of Denominators means LCM of 126,7248 as per the given fractions.
LCM of 126,7248 is 152208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1474,5686
2 | 1474, 5686 |
737, 2843 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1474
List of positive integer factors of 1474 that divides 1474 without a remainder.
1,2,11,22,67,134,737,1474
Factors of 5686
List of positive integer factors of 5686 that divides 5686 without a remainder.
1,2,2843,5686
Greatest Common Factor
We found the factors 1474,5686 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,5686 is 2.
Lets's calculate LCM of 126,7248
2 | 126, 7248 |
3 | 63, 3624 |
21, 1208 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 1208 = 152208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152208
Therefore, the GCF of Fractions 1474/126,5686/7248 is 2/152208
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 126,7248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,7248) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(126,7248) x common factors =6 x 1 = 6
LCM(126,7248) = ( 126 × 7248 ) / 6
LCM(126,7248) = 913248 / 6
LCM(126,7248) = 152208
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 1474/126, 5686/7248?
Answer: GCF of Numerators as per given numbers 1474/126, 5686/7248 is
GCF of Numerators i.e. for 1474,5686 is 2
LCM of denominators i.e. for 126,7248 is 152208.
Thus, GCF of Fractions is 2/152208.Finally, GCF of Fractions for 1474/126, 5686/7248 is 2/152208.