Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/558,86/1915
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 42,86
Greatest Common Factor of Numerators i.e. GCF of 42,86 is 2 .
LCM of Denominators means LCM of 558,1915 as per the given fractions.
LCM of 558,1915 is 1068570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,86
2 | 42, 86 |
21, 43 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 42,86 . The biggest common factor number is the GCF number.
So the greatest common factor 42,86 is 2.
Lets's calculate LCM of 558,1915
Given numbers has no common factors except 1. So, there LCM is their product i.e 1068570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1068570
Therefore, the GCF of Fractions 42/558,86/1915 is 2/1068570
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 558,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,1915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(558,1915) x common factors =1 x 1 = 1
LCM(558,1915) = ( 558 × 1915 ) / 1
LCM(558,1915) = 1068570 / 1
LCM(558,1915) = 1068570
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 42/558, 86/1915?
Answer: GCF of Numerators as per given numbers 42/558, 86/1915 is
GCF of Numerators i.e. for 42,86 is 2
LCM of denominators i.e. for 558,1915 is 1068570.
Thus, GCF of Fractions is 2/1068570.Finally, GCF of Fractions for 42/558, 86/1915 is 2/1068570.