Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 112/66,598/5684
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 112,598
Greatest Common Factor of Numerators i.e. GCF of 112,598 is 2 .
LCM of Denominators means LCM of 66,5684 as per the given fractions.
LCM of 66,5684 is 187572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 112,598
2 | 112, 598 |
56, 299 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 112,598 . The biggest common factor number is the GCF number.
So the greatest common factor 112,598 is 2.
Lets's calculate LCM of 66,5684
2 | 66, 5684 |
33, 2842 |
∴ So the LCM of the given numbers is 2 x 33 x 2842 = 187572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187572
Therefore, the GCF of Fractions 112/66,598/5684 is 2/187572
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 66,5684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,5684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,5684) x common factors =2 x 1 = 2
LCM(66,5684) = ( 66 × 5684 ) / 2
LCM(66,5684) = 375144 / 2
LCM(66,5684) = 187572
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 112/66, 598/5684?
Answer: GCF of Numerators as per given numbers 112/66, 598/5684 is
GCF of Numerators i.e. for 112,598 is 2
LCM of denominators i.e. for 66,5684 is 187572.
Thus, GCF of Fractions is 2/187572.Finally, GCF of Fractions for 112/66, 598/5684 is 2/187572.