Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 112/265,376/558
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 112,376
Greatest Common Factor of Numerators i.e. GCF of 112,376 is 8 .
LCM of Denominators means LCM of 265,558 as per the given fractions.
LCM of 265,558 is 147870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 112,376
2 | 112, 376 |
2 | 56, 188 |
2 | 28, 94 |
14, 47 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
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 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 112,376 . The biggest common factor number is the GCF number.
So the greatest common factor 112,376 is 8.
Lets's calculate LCM of 265,558
Given numbers has no common factors except 1. So, there LCM is their product i.e 147870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/147870
Therefore, the GCF of Fractions 112/265,376/558 is 8/147870
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 265,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,558) x common factors =1 x 1 = 1
LCM(265,558) = ( 265 × 558 ) / 1
LCM(265,558) = 147870 / 1
LCM(265,558) = 147870
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 112/265, 376/558?
Answer: GCF of Numerators as per given numbers 112/265, 376/558 is
GCF of Numerators i.e. for 112,376 is 8
LCM of denominators i.e. for 265,558 is 147870.
Thus, GCF of Fractions is 8/147870.Finally, GCF of Fractions for 112/265, 376/558 is 8/147870.