Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/43,128/37,270/562
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 547,128,270
Greatest Common Factor of Numerators i.e. GCF of 547,128,270 is 1 .
LCM of Denominators means LCM of 43,37,562 as per the given fractions.
LCM of 43,37,562 is 894142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 547,128,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
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
Greatest Common Factor
We found the factors 547,128,270 . The biggest common factor number is the GCF number.
So the greatest common factor 547,128,270 is 1.
Lets's calculate LCM of 43,37,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 894142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894142
Therefore, the GCF of Fractions 547/43,128/37,270/562 is 1/894142
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 43,37,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,37,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,37,562) x common factors =1 x 1 = 1
LCM(43,37,562) = ( 43 × 37 × 562 ) / 1
LCM(43,37,562) = 894142 / 1
LCM(43,37,562) = 894142
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 547/43, 128/37, 270/562?
Answer: GCF of Numerators as per given numbers 547/43, 128/37, 270/562 is
GCF of Numerators i.e. for 547,128,270 is 1
LCM of denominators i.e. for 43,37,562 is 894142.
Thus, GCF of Fractions is 1/894142.Finally, GCF of Fractions for 547/43, 128/37, 270/562 is 1/894142.