Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 270/87,118/6080
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 270,118
Greatest Common Factor of Numerators i.e. GCF of 270,118 is 2 .
LCM of Denominators means LCM of 87,6080 as per the given fractions.
LCM of 87,6080 is 528960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 270,118
2 | 270, 118 |
135, 59 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 270,118 . The biggest common factor number is the GCF number.
So the greatest common factor 270,118 is 2.
Lets's calculate LCM of 87,6080
Given numbers has no common factors except 1. So, there LCM is their product i.e 528960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/528960
Therefore, the GCF of Fractions 270/87,118/6080 is 2/528960
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 87,6080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,6080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,6080) x common factors =1 x 1 = 1
LCM(87,6080) = ( 87 × 6080 ) / 1
LCM(87,6080) = 528960 / 1
LCM(87,6080) = 528960
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 270/87, 118/6080?
Answer: GCF of Numerators as per given numbers 270/87, 118/6080 is
GCF of Numerators i.e. for 270,118 is 2
LCM of denominators i.e. for 87,6080 is 528960.
Thus, GCF of Fractions is 2/528960.Finally, GCF of Fractions for 270/87, 118/6080 is 2/528960.